I lead a normal life. I've never gotten into a situation where this could ever possibly concern me. I'm betting the vast majority of people who visit HN (and aren't commenting here) wouldn't have this issue, either.
I do not fear the police. The police have helped me in several situations such as car accidents. At my business they discovered my back door open and, within minutes, caught the person who stole something. My car got side swiped overnight and they walked the street to see if any neighbor had a camera. And on and on.
You wouldn't find me in an illegal situation involving the police except if I happened to be there. But I wouldn't fear being hauled off to jail cause that just won't happen except on the internet.