Unfortunately, that's not the way most bans work. Some people would rather go to a place that allows smoking, and complain, than find a place that does not allow the activity. As for being a 'private' club, it shouldn't have to be that way. The public, meaning you, me, or anybody, has the right to go into a business and spend their money as they see fit. They have a responsibility, however, to see to it that they do not expose themselves to any perceived danger. We live in a society that will willingly go onto 'Fear Factor', and expose themselves to imminent danger, and turn around and whine about exposure to cigarette smoke, when they have the option to avoid that smoke by vacating the area. The idea of that ban is retarded...
BTW...nobody has proven that 'second-hand' smoke is dangerous. As I pointed out before, that first study was flawed, and every study since the first has relied on the data the first study cherry-picked.