Seriously? We've come to a point in the human race where gays and gay rights advocates are not eating a fast food fried chicken sandwich just to prove a point. Does anyone find that even mildly amusing? I mean, if any of the sterotypes are correct - and I watch enough TV to assume that all gay men are stylish, trim, and far more fashionable than I - well, they aren't eating at Chick-Fil-A anyway.
Yet, by all means, boycott away. It's your right.
In the 1980s my parents wanted to boycott Disney. I think probably McDonald's somewhere along the line as well. I remember them receiving a newsletter each month that essentially listed all the bad things various corporations were supporting - the trash TV they were advertising and thereby supporting - the newsletter scared me. Sometimes I'd try to get it in the trash before they saw it. Quite frankly, I didn't care that Disney had 'Gay Days', I just knew that it was the happiest place on earth and some newsletter was going to keep me from my cartoon nirvana.
It just doesn't work. I'm sorry.
There still exists some OPEC nations where the putting to death of known homosexuals is considered acceptable behavior. No one is boycotting OPEC - at least as far as I know - because even the mightiest Prius requires a little bit of liquid fuel from time-to-time. But that's work. Kind of like boycotting Disney (who at the time of my parents' newsletter owned at least ABC and had their hands in assorted other companies....) And, yes, I am aware of my hypocrisy for I do not agree with this form of religious law, but I do buy gasoline on a very regular basis. It is a necessary (expensive) staple in this 21st century life.
Feel free to boycott - but do it well and thoroughly or don't bother. I mean, if you're going to boycott, be the Olypmic boycotter, not the fat guy sitting home and eating a Big Mac while complaining about the defesive line of his favorite football team. But in a nation where obesity is epidemic, we obviously aren't disciplined to stop eating fast food in its various forms - the idea that we have discipline enough to stick to a boycott is just a bit amusing.