So in regards to banning cop-pc's it;s a bad idea.
Treating law enforcement like it is not it's own sphere is equally a bad idea. It's the one area solidly in WoD that will end up interacting with every single other sphere on one level or another, and on a consistent basis. It's a large encompassing area.
That said. LA does have a lot of alphabet soup letters in it's bowl. Simplify it, the county departments still have a lot of power, so that's one thought. Be all LACSD. Sheriff Agencies are huge in California.
Another idea mentioned is people are part of some sort of task force. You could really run with a few task forces set up per flavor, got your vice, your robbery homicide, your anti-cartel/drugs... I'd shy away from the anti-terrorism parts, though it could make a good cover for dealing with all things WoD.
Masq back in the day promoted the fact there were no patrol PC's, all were detectives. Why? Well 90% of the work involved in WoD policing, is actual investigations. So make PC's where the work is at.
Disallowing pc criminal vs pc cops doesn't work for me either. It always leads to asshats going "haha cant touch me even though I just murdered this baby" It's fucking idiotic, and also leads to these plots of MASSIVELY ATTENTION GRABBING ACTIONS... going on at will with zero consequences. (Yes. If you steal from cops you deserve to get your appropriate appendages slapped.)
At what point did we forget gaming has consequences for PC's for bad actions, or even bad luck on dice rolls?
The best RP I had in my life was chasing down a cop-killer, or trying to anyways. Mostly it wasn't any deus-ex that kept saving her, it was the dice. Occasionally some mutual agreement here and there. But in the end, my PC managed to win and there were consequences. But it all started with criminal pc was stupid and earned the pc cops attention, and it steamrolled from there. One could call it cross-sphere RP since said criminal was a vampire, and the cop was pure mortal.
Going after NPC's all the time gets boring after all while, in the end they are all some form of cookie cutter archetype. Other people tend to be less predictable on some level, and again. The dice are the ultimate equalizer, they don't always cooperate. Nothing like watching someone who normally beats people down get their ass whooped because their dice failed them so terribly.