The Log Cabin Republicans
A group of Republicans that supports the inclusion of gays and some gay rights issues into the Republican Party. Generally speaking they tend to be gay, but some straight Republicans have been known to be supportive of them.
Though as diverse as the Republican Party itself generally speaking there are very few religious conservatives and a lot more of the fiscal conservatives in the group. They either endorse or withhold endorsement from Republican candidates.
Unlike the Stonewall Democrats this organization does not support hate crime legislation. The opinion generally held by the group is that if a person is prosecuted for murder or assault that is enough of a punishment. Their main goal is the decriminalization of homosexuality and homosexual acts and the ending of investigations of US Military members' sexual orientation.