Criminals aren't necessarily afraid of getting caught in the act because the cops will kill/kick their ass, but rather because that makes it easier for cops and then the prosecutors to have an easy case and then the criminal suffers the consequence. It's not much more of a fear than of the cops subsequently dealing with the crime and identifying and locating the criminal and a criminal case being filed and won.
It'll be fine if instead of ____ City PD doing that job, there's some other entity that can do the whole crime-fighting and investigating job, including going to the crime scenes even when still active and dangerous and having enough stuff on them for it to be relatively safe.
And then you could have a bunch of other things that aren't ___ City PD to do all the other things police do. I'm sure some things would improve with that split, while there might be other things that would become less effective without the centralization.
But this is all really just political posturing.
If we're gonna do something big, break up the united states.