You also have to add in reporting bias.
"Cop patrols neighborhood, throws some hoops with the kids, and helps old lady across the street" stories just don't make the news, nor do "cop car pulls over person speeding, sees person is having medical emergency, gets them back on the road ASAP and escorts them to hospital with no ticket issued" stories. Yet these happen all the time and if you ask around you can find them, but good news makes for bad press, and if it bleeds it leads, thus even discounting the wild leftist bias of the news you're not likely going to see many news reports of cops just doing their job and being members of the community. Heck, it barely makes headline when cops crash a massive human trafficking ring or other major crime busts... so of course you hear more about the bad cops.