Refusing to obey the police orders can be a reason for arrest, AFAIK. So if they ask you to leave and you start pressing your rights you may get arrested. At least here. All of this depends on local laws, too. I think police can detain you for questioning on suspicion - the word "arrest" may not be the right one although to me it seems there's little difference in the outcome.
This argument starts to go in circles and derail from the main point I was trying to make, that arrogant and uncompromising behavior doesn't work most of time, be it an overly paranoid parent or a photographer all worked up over his/her rights. People should respect other people's concerns, even if they don't share them. This is just my opinion and you're entitled to your own.
BTW I love your avatar too, I was trying to remember where I saw this guy ! I work in engineering / manufacturing and there's plenty of people with similar looks and very peculiar traits in this business.