You're very right, I have seen the stupidity of the internet and I should know better by now. I don't think most people are saying get rid of all cop characters.
Also booping in that you'll have to consider the history of your police force as well. Why were they established? You need to avoid some of the issues that modern police forces have regarding their history. For example most police forces in the US were established as slave catchers, then continuous and consequtive laws were passed to specifically target BIPOC. In the UK, they were an authoritarian force that was born out of suppression of the Irish. So I think whatever history you have for your police force in your world will dictate their command structure and philosophy to a degree.
I recommend watching The 13th documentary so that you're familiar with the history of the laws and stuff so that you can see why interpretations of the police have moved towards this way and research how police were instituted across the globe so you can avoid some of the more problematic tropes.
This is actually a very good point to when your cops should be “props” and when they should be part of the actual plot or be actual people. If you have no real reason to have cops in your story then why have them in other then to be preachy or because you like the uniform? 
If you are writing a murder mystery or a cop drama on the other hand you need to make sure that the world your making is “alive” in the sense that the cops do in fact have a place and rules that they follow or at least or meant to follow and they should only follow or break rules if it is consistent with their character. For example if you have a cop character who likes to pick on speeders- they should have a reason for picking on speeders for some reason- it can be as drastic as someone they loved died in a car accident due to a speeding driver, or as petty as their ex wife was a speeder and they still have some issues to sort out. Just so long as you remember to make them internally consistent with themselves 
Funny you mention Paw Patrol, because whether that one was a meme or not, it's still cop propaganda. "cops know everything and always have your best interest in mind" isn't a great message to send particularly to children of color. Teaching children to idolize any profession isn't a great move.
Kinda weird that you really want to frame this as "people being mad for no reason at all" when there's good reason to be wary of how cops are depicted in media. yeah, someone somewhere might not understand why they're mad (thus it comes off as being mad just to be mad) but they know other people with actual reasons are upset, thus they're following their lead. There's never just "no reason".
I promise you no one cares. Depends on the audience you're trying to cultivate. If you're not trying to write anything where people are supposed to think too deeply you're good to go.
I have not seen angry people about this. I have seen people who say it's very counter what is expected from her rebellious character, and I agree. I like her regardless though.
Just because a story has a good cop, that doesnt make it police propaganda.
Also, the police dog doesnt "know everything". None of the characters are constantly monitoring the city or anything, they are called by the people who needs help.
Anything against blacks being cops?. Black people in law enforcement can help people overcome racial profiling.
There is a huge difference between being wary of how cops are despicted and trying to ban any positive portrayal of cops in media.
The first one is a valid concern, the second one is blowing things out of proportion.
While i understand that some may want to help, blindly following others without knowing the full picture is not a smart move, it can even backfire for the people they are trying to help.
The fact this thread exist and the outrage in many social networks shows why the "cancel Paw Patrol" meme was believable.....
May I point you towards the Satanic Panic in the 80s to show that sometimes, just because something is widely believed and talked about, it doesn't actually mean that anyone ever said that or that the thing you believe is happening is actually happening?
"Official investigations produced no evidence of widespread conspiracies or of the slaughter of thousands; only a small number of verified crimes have even remote similarities to tales of SRA."
We are a dumb race who believe dumb things sometimes if the hysteria is whipped up enough.
I'd say you should be aware that some pretty prominent cop tropes haven't really aged well in today's context. For example, one of the most popular archetypes is the "loose cannon cop who doesn't play by the rules." Once upon a time, people looked up to these kinds of characters - if they didn't have to deal with so much red tape and all this dumb paperwork, they'd be able to go right after the bad guys and stop them! But put this guy in today's environment - a lot of people are going to look at him and say "That dude's dangerous and should not be responsible for keeping us safe."
Even when the media isn't about a "loose cannon cop," fictional police are always breaking the rules or violating people's rights - either because the characters they're brutalizing are "bad guys" (and thus deserve it) or it's a comedy and we're supposed to laugh at how bad these guys are at their jobs. These are actions that people used to either cheer on or laugh off as a joke, but nowadays, if your heroic character does this, don't expect today's readers to be as sympathetic towards them as they used to.
Anyway, some extra thoughts on other topics brought up. I don't think there are any serious efforts against Paw Patrol to concern yourself with these hypothetical people who are outraged about puppy police. You can hypothesize any number of ridiculous people to be outraged over, if they don't exist in reality with enough numbers, I wouldn't suggest wasting emotional effort on being upset about them.
I'm not familiar with people being upset about Toph becoming a cop, but I wouldn't be surprised they exist. In terms of characterization, I see no issues. For one, Toph is 10 during The Last Airbender - people usually end up very differently from who they were at 10. And even if Toph still had a rebellious streak as an adult, you should be aware that these people exist in real life and very often do end up becoming cops, for better or worse.
Relevant video series about portrayals of the police in media. I'll post them in order.
And particularly pertinent, since Jack Saint wrote this one amid the protests
Black people (all POC, in fact) can be taught racial profiling--and they are. If black people being in the force could reduce racial profiling, either by convincing their fellow officers that black people are people too or by not having a bias against black people, then why does racial profiling still happen so much?
Besides, teaching children to idolize any one thing is dangerous for them regardless.
Paw Patrol isn’t about idolizing the police. It’s about puppies dressed in little outfits who work together to solve problems like getting a cat out of a tree. It like many PreK shows are designed to teach basic life lessons while also selling toys, lots and lots of toys.
Just because racial profiling hasnt been finished, it doesnt mean that was not a step towards. Of course , that alone may not be enough, and other steps may be needed.
Do you think any character that is a good cop, neccesarily teaches children to idolize cops?
feel like this kind of thought is a problematic slippery slope in the way that "because anna likes christian grey, lonely house wives are gonna leave their husbands for rich angry men" 
like k glad we seem to think house wives have the intelligence of an ant 
and you know... just don't wanna enjoy dumb smut from time to time.
I agree with Paulie, we're all kind of overthinking it. When it comes to fiction it is...fiction. And I'm assuming that you're not getting paid by the government to make cop/military propaganda (which is a thing that happens in many countries ...probably most countries... to make content) this is gonna be your own world, set in outer space. You're fine.
I dunno. While, yes, that is true, fiction is also a representation of our culture and ideals. OP was clearly worried about not presenting a certain set of ideals which are based around a certain interpretation on the police. I don't think it's 'overthinking' it to be intentional about creation. To be honest, a lot more works could stand to be a lot more intentional of the messages that they put out into the world.
If you want to use cops in your story then use them!
I love cop shows and detective novels so my comic has them too.
Unless you're outright racist it's not a bad thing.
You shouldn't be afraid to do so as there is nothing wrong in it. I use a cop character in my comics who makes dad jokes and bad puns and my readers love him. So I would say go for it.
