A business should be able to refuse service to anyone they want. In the case of the bakers their rights have been trampled on.
If agree that the bakers have the right to control their property then it makes sense that you would agree they have the right to tell you no open carry, or no shirt, no shoes, no service if they so choose.
I'm sure this burger joint will regret their plan. It might work in NYC or SF, in Texas it sounds like a death wish for a business. Just like Chik-Fil-A boomed after the gayness ruckus.
Unfortunately it's privately held so we can't short the stock.