Yeah, give Keep Calm a shot. It's not perfect, and it only works on vehicles, but it does go a long way to making your day to day policing a lot less chaotic. I do find the mod has a bit of trouble during large shootouts, though frankly, I think that adds a level of realism anyway (you wouldn't expect drivers to wait patiently in the crossfire while SWAT engages 15 gang members).
If it helps, think of the peds who attack you as aggressively anti law enforcement. Maybe a gang really doesn't want the police on "their" street.