You have no idea how bad it is.
Ever heard of PINAC? I have had a number of yahoos tell me I couldn't photograph buildings visible from public ways, or that I couldn't take a picture if even one person was in it who hadn't given me permission to take it. And when reminded of the law, a few of them got belligerent and demanded that I provide my papers for them. One cop at a St. Louis MTA station told me that photography was prohibited. I stopped shooting, but reported him. He was ordered to report for retraining. Which was fine with me. I had the shot I wanted, anyway.
And I'm aware that a few police have gone completely rogue and have assaulted innocent people and/or stolen their property. Some of them have escaped punishment. Yes. I know.
You'll just have to take my word for it that the vast majority of police don't bother me, or after they ask a few questions, tell me to have a nice day, and depart.
I don't deliberately try to provoke them, but I have always asserted my rights, and so far, no police officer has abused me beyond an illegal demand for my identification.
You should try working with them.
I was a volunteer fireman. We never had a problem with them. Small town, you know. I know in some cities, they don't get along well.
The stats do no reflect reality, they are just smoke and mirrors.
I tend to think they are accurate, since incidents of violence decline markedly when police wear body cams.