Mail flyers to fundamentalist church members from "Gays for a Republican Majority" or whatever and congratulate the president on all his gay and lesbian appointments. "Don't believe the liberal media; President Bush is doing all he can to elevate our GLBT community to the highest reaches of government."
"Freedom of Choice Republicans" can do the same and say "our leaders pay lip-service to the anti-abortion crowd, but don't worry about losing your right to a safe and legal abortion--we control every branch of government and a woman's right to choose is as solid as ever!"
etc., etc.