To me this is very easy to do. Why? Well I'll tell you why. First and foremost, they haven't said anything hateful. They, the Chick-fil-A executives were very respectful in the statement of their beliefs as a company. They didn't strike down any one or their beliefs, they didn't say "gays should be shot". They didn't do any of that. Yet they're being treated like they did when all they said was simply that they believe in the Biblical definition of marriage. While they're not the first to be demonized for doing so, this is by far the worst I've heard of a holder or a group of holders of this belief being treated in a while.
Why does their belief disqualify them of their entrepreneurial rights? How does their business effect your life if it does business in Chicago or Boston? The simple fact to both of the questions is it doesn't. Many will argue otherwise but here's why. As Americans they have the right to say what they want as long as it doesn't violate hate speech laws, which what they said doesn't. Therefore they don't have to forfeit any of their other rights. And this is why the mayors of Chicago and Boston look like jerks.