I never understood why these people associate themselves with the Republican Party.
Do gays not have freedom of association? That's like saying that you don't understand why straight people would associate with the Democrat party.
Freedom fighters. Their existence is the real test of whether or not the GOP can be a "big tent" party.
And it was explained in the first post why they associate with the Republican party: "Low taxes, limited government, strong defense, free markets, personal responsibility, and individual liberty." They're perfectly free to choose the Republican party, and they are smart in doing so. Choosing a fringe third party over one of the two primary parties would only make them appear further out of the mainstream.
I don't think they will change the religious wing of the GOP by themselves, but they're perfectly welcome in a party that probably needs to have a discussion of where their views are headed.