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.