I don't know, by the same logic you could say you have a right to not let other people look at you in public (you don't). I understand the desire for a right to privacy (despite no such explicit right being anywhere in the constitution), but when you are in public, you be definition give up some privacy.

The thing is, I think most people who object to this so much would probably never even visit those bars where people care what the "scene" is like anyway