For purposes of general reference, here's what the New Testament says regarding homosexuality, btw.
1st Corinthians, shall not inherit the kingdom of heaven - with regards to homosexual prostitutes. The rest of the list includes things like fornicators and drunkards, so the overall emphasis is on condemnation of those with a lack of self-discipline or excessive gluttony for life's pleasures in general. Oh, and adulterers are also in there, so lol at any anti-gay politician who's cheated on his or her wife.
Then there's First Timothy, which is similar in the laundry list. The actual words used are 'malakoi' and `arsenokotai,' general terms for sexual perversion with variable meanings that aren't specific to homosexuality, and particularly not specific to homosexuality in loving, mutually respectful relationships.
Finally, there's a bit in Romans about 'vile passions.' When you look into the context of the original words, this translates into a condemnation of self-indulgent orgy and fertility cult behavior that's supported by mind-altering substances. A cursory reading of the English translation makes it look like same-sex sexual behavior was a root problem, but when you look at the translations and the culture in the original context of the passage, you can see that it's really about hedonism, with out of control same-sex sexual behavior being a symptom of that. So, again, we have condemnation, but not in the context of respectful, loving same-sex relationships.
So supporting gay rights, as a Christian, is not a hard thing to do, unless you subscribe to Biblical infallibility and literalism across indefinite translations. Which, to be fair, is still a popular school of thought, but not one that is inherently wedded to the Christian religion.
Furthermore, I think Guantanamo must be destroyed.