Even if tigers are really scary when you meet one, I am not afraid to go outside because I might get eaten by a tiger.
I guess we could do a lot of subgroup analysis here and try to figure out based on day of the week and the route you are taking how much of your fear should be allotted to police versus allotted to criminals. But you start with the big, easy-to-find numbers and do a basic sanity check. I don't think being carefree about criminals and afraid of police is rational in very many situations.
On the other hand, I’ve seen more than enough people being arrested for nonsense, having done nothing but tick an officer off in some apparently random way - and these people will always be released immediately before the police would have to explain to a judge why they had arrested this person. Being detained is plenty scary enough, and could cost you your job.