This is legitimately useful reframing. A while ago I started replacing the word "cop" in my vocabulary with "a man with a gun." It really puts things into perspective.
This homeless person is making me uncomfortable. Should I call [a man with a gun]?
My neighbor is having a loud party. Should I get [a man with a gun] involved?
There are some teenagers skateboarding. Do you think [a man with a gun] would get rid of them for me?
It makes it very clear what you're saying. I can call a man with a gun to threaten or hurt someone mildly inconveniencing me. You're not calling the cops, you're calling A MAN WITH A GUN into a situation that does not warrant a firearm handled by a volatile lunatic who will not be held accountable for his actions.