I certainly have no qualms about calling out Chick-Fil-A for being bigots and calling for and taking part in boycotts against them.
But when governments -- local, state, national -- start saying that because of the exercise of those beliefs they will prevent Chick-Fil-A from opening a store what have you -- especially if there's no evidence they will not serve gays and lesbians or hire them [in certain places where that is illegal] (because then it becomes a different sort of violation to other person's rights) -- no matter how I feel I think that is blatantly wrong (and illegal). It is textbook for what the First Amendment is.
For example Amazon just made a big donation to assist the pro-gay marriage movement in Washington state -- would a Republican mayor or governor be allowed to attempt to punish them in the same way?
Sure, Chick-Fil-A is run by assholes -- they suck-- have at it anyone BUT government to punish them by boycotting them or calling them what they are, but the government cannot. That's what makes the First Amendment awesome.