IMO, i don't think this will work. look at the other high profile companies that have been pressured to allow or not allow firearms in their establishments. the ones who don't get alot of press because they don't. the ones that do get alot of press because they do. ie Starbucks. Public opinion and press does not change their polices. That's why we support the companies that do support 2A and do not support those that don't. Many have sent letters to companies that do not support 2A and nothing has changed with any of them.
But i will say good luck with the petition.