Hi, Captain Kid :) I'm not the OP, but I was hoping I could answer your questions.
Chick-Fil-A is anti-gay not because of Cathy's declaration of a Biblical view of marriage, but because of the organizations supported by Chick-Fil-A. Among them are the Alliance Defense Fund, who have been quoted as saying the following against LGBT individuals:
"Their strategy is twofold: dilute moral values so that homosexual behavior is thought to be normal, natural, and good, while suppressing the religious and free speech rights of those who disagree. If they successfully impose their radical legal agenda, then all people - especially Christians - who do not affirm homosexual behavior could be silenced, punished, and possibly even jailed"