Niazik, that wasn't my point, and you know it! My point is, torah describes something as Toeivah, you have something against toeivah, you do something about it. Fine. But why such vigilance on this toeivah, and none on the one kind of toeivah that I guarantee more businesses are guilty of simply by virtue of being businesses, not just "supporting" a different toeivah. (btw, the issur is in the act, not even in identifying oneself as such). So you are making a case for boycotting a store that makes a political statement of support for the rights of those who contravene an issur for Jews and likely (shevah mitzvos bnei noach probably applies) non Jews too.
I guess my point is that your choice, which is personal and you are certainly entitled to it, is a political and social one, not a religious one. Don't fool yourself into justifying your actions religiously, because halocho doesn't require you to do this.
Further, my other point is that you are displaying a lack of consistency if you are using Torah terms like toeivah. If the torah description is what motivates you, act likewise towards other toeivahs. if you are motivated by your social and political perspective, say so, and I would have no taine about inconsistency or hypocrisy.