In general, if you interfere with the police (even if you disagree with whatever it is they're doing) you can expect some trouble. I will be the first to acknowledge that sometimes the police (especially small town cops) can get a little too full of their own authority and take it too far.
On the other hand, their job is to keep the community safe, and save for the very worst cops (which are in the minority), they take the job seriously. There is (and should be) a pretty high bar to harassing or interfering with the police.