I have had positive experiences with American police, but not as many as the negative experiences, and the negative where great enough to sour me on authority. In fact whenever I had a positive experience it was just so weird to have a cop not ruining your day because they had the power to do so, that it seemed surreal.

You are missing the point if you think it is about shaping someones' emotions towards police. The point is that there are plenty of valid reasons to just want to avoid interactions with or areas with police.