But BWW isn’t “destroying your freedoms”, any more than a restaurant that (back in the days when it had a choice to do so) banned smoking. The restaurant owner is actually exercising his freedom to determine the environment in which his patrons will dine. A restaurant that bans smoking will lose patronage from those customers for whom a cigarette is an integral part of the meal, and gain patronage from those customers who dislike dining in the stink of second hand smoke. A restuarant’s dress code, if any, is another example of the same sort of calculus.
Same with a gun ban. BWW apparently feels it will gain more customers than it loses, if it promotes its restaurants as gun-free (and, by implication, safer, although I presume you will disagree). Personally, I would probably be more likely to patronize such a restuarant, although it really isn’t a big deal to me. (Neither is second hand smoke, although for Mrs. Jazz it is a deal breaker.)
It is your freedom to choose who you will patronize, for political or whatever reason you desire. It is the freedom of a private business to (within the limits of laws with respect to public accommodations) choose to attract certain kinds of patrons but not others. (Where my daughter goes to school, there’s a business called “Blue State Coffee” that adheres to a business model intended to attract liberals and make conservatives unwelcome.) But don’t think that BWW is “taking away your freedoms”. BWW is doing what it thinks is best for its business. You have the exact same freedoms you had before BWW set its policy - including to stay away and say why.