Actually I had my fair share of police encounters in France as well and it never went bad. The last I remember was asking cops to take me in their cars to a club (I was completely drunk), they told me they were not a taxi company. I then told them they had to take me because I was inebriated, they just laughed at me and left.
In 2 weeks in the US I got arrested twice. Once for eating a sandwich 5meters from people drinking alcohol in the street. Then the second time, while I was going to court for that stupid shit I got arrested for going through the subway gate twice in less than 15 minutes even though I had an unlimited pass.
/rant over. Cops are cool in a lot of places. Not in the US.