I got temporarely arested last year for "suspicious behaviour around a govenment building" when I took a picture of our local court house. A policeman escorted me to the security officer of the court house, who dismissed the matter with the wise words "this is a free country."
Just imagine what the young officer would have done had I told him I didn't only take a picture but also recorded the GPS coordinates :-)
You will always run into people who take themselves too seriously. Just let them be right and come back again the next day.