The Sickboys are 'carriers of a virus', so these human minions would instantly turn into a horde of infected once they step into a 30ft radius of the guys below (spoiler, virus is actually an inaudible frequency the sick boys emit from their bodies and evolves into virus in others). The infected minions would now have flash step granting them high speed, teeth and claws, and forms that rapidly shift through states of matter, allowing them to avoid bullets. Much like zombies they would look for other lifeforms to feed on and further spread infection.

The infected can avoid human artillery by default, because their forms rapidly shift between solid/liquid/gas. However, sick boys & sick girls can also emit a frequency to lock the infected into a solid/corporeal form, by simply thinking of them taking flesh/solid form. And they are now vulnerable to all forms of physical damage.
TOTALLY SPOILER-ISH
Evan Moriarty

It takes a long time for him to become aware of his regenerative capabilities because no one pushed him into near death early 'o clock, but he eventually goes up against gods who push him good.
Low level Evan (unaware of his capabilities) would be uncontrollably coughing once he starts infecting the people, the now instantly mutated horde of them would drop their guns, and instead flash step and claw him up before he can catch himself from the cough (also removing Owen his brother who would usually possess him and suppress his coughs). Evan would be pushed into near death, and snap into an uncontrollable feral rage, grab the drivel from his mouth (brought up by the coughs) and slaughter the horde of infected minions with his drivel in the form of blades, and shard volleys. Once he goes into this feral/animalistic state he'd probably be mentally susceptible to your goddess influence, why waste time on human minions when you can have God of Death Jr. be your new weapon, plus he's a walking super spreader. It's a state that lasts a limited time before he fully passes out and falls into a recovery state, and she'll probably exploit this.
Skilled Evan - they will become infected, but he would be able to flash step away as they mutate and better control himself from the uncontrollable coughs. The ones outside the infection range might get attacked and infected by those who already were (bullets can't harm the infected, only SickBoys can alter them into corporeal/solid form as mentioned earlier). Evan would just mix it up between flash steps, spit dagger volleys, spit swords, spit shield and wipe them all out.
Issandro -

The minions would get infected as they get within 30ft radius, he can control his coughs. He'll rip the place and minions (infected and still human ones) into bits with gravity or anti-gravty aoe abilities. Kill everything in sight mentality.
Crimson Panda

Infect the ones nearby, control his coughs
He's got the standard superman stuff like superstrength, flight, resilience and regeneration, but also super-human mimicry (auto-mimic an opponent within a 50ft range).
As his regular self- he would be concerned about humans safety in nearby areas, he would divert the infected minions and distant unaffected ones to an area where he can beat them the standard 'superman style'. Nothing to mimic since the human minions don't have superpowers, but from the infected ones he can borrow their flash step to confuse shooting human minions further away with hopes to avoid infecting them all. He'd be curious to investigate what's going on and what has come over these minions.
Under Sick Boy Villain Influence
Fly into air and divebomb onto minions and region like a meteorite. Zero regard for humans.