And let's say that such a statement is intolerable. For the purpose of debate, let's say that they consider anybody who is gay to be Satan's spawn and should be expelled from the country. But they do not act out any of that and do not discriminate against anybody in their business practices.
Is it okay to deny them a business license? Is it okay to disrupt their business or try to ruin their reputation to the point it costs them their livelihood?
I've never once seen a bunch of Christian traditionalists who believe marriage is between a man and a woman boycott, intimidate and bully a gay business have you? Have you ever seen three mayors from three major US citizens try to deny a gay business a permit to operate? If only people could put that tight shoe on the other foot and walk in it. huh?
I've not seen it myself, but I can't say it has never happened. But if it did happen and The Most High and Holy Righteous Church did picket the local gay bar, tried to fill the parking lot so nobody could park, tried to block the entrance, crowded all the counters so nobody could get service, etc. All because they were intolerant of the gay lifestyle and didn't appreciate the gay activist causes the owner of the bar supported.
Would that somehow be more objectionable than gay activists and supporters trying to disrupt Chick-fil-a's businesses today?
How is it different?
(And personally I think both groups should be soundly criticized and fined for violating the respective business owner's rights.)