There are (politically) conservative homosexuals. They're called Log Cabin Republicans; you can Google them.
Some people say, if you follow Jesus, you're a Christian.
Some people say, if you follow Jesus and you agree on the basics of the traditional creeds, you're a Christian. That's the basis ChristianForums uses for whether you can put a Christian icon in your profile or not. I think it's a pretty reasonable basis, though I can see legitimate reasons to disagree with that too. And if you look at the creeds, there's nothing there about evolution, there's nothing there about homosexuality, there's nothing there about the literal truth of the Bible. So it's not a logical impossibility to believe in the creeds and disagree with the more conservative positions about these things.
Liberals don't agree on things. We tend to define ourselves in a negative sense, by looking at the conservative positions and saying "not that," or "not that--not exactly, anyway." For example, the classic conservative position is that the Bible is literally true all the way through, but you'll get people who call themselves liberals and say everything from "The Bible is literally true all the way through, but the conservative interpretations of certain passages are incorrect" to "The Bible is an effort at recording the experience of the divine in a specific cultural context, so although it contains much wisdom, we have to be careful at applying it unthinkingly."
Liberal is a relative term. It depends on your cultural context. I am a liberal in the social context of the American south, but I have lived in places where I was theologically conservative by comparison.
So many people say, "If you were REALLY a Christian, you would believe X." But I look at the prooftexting wars between calvinists and arminians, between those with different eschatological beliefs, all of whom are truly Christians and know their Bibles and believe their Bibles. I just have to look at that and admit, I don't know. There are things I'm just not going to know in this life. And on the matters I won't be able to know in this life, it makes sense to me to live with the most compassion and the most forgiveness that I can manage. I'm not trying to claim perfection for liberals in this respect. We can be just as doggedly certain as conservatives about some things--even about being uncertain.

And we can be triumphant about tolerating all kinds of viewpoints... except for the viewpoints of the fundamentalists. We can rail at people for claiming Jesus as a Republican, and then turn around and claim him as a Democrat. But for me, the bottom line is that I truly believe in Jesus, and I truly believe that doing my best to follow Jesus is not at odds with being a pinko commie feminist*.
*Attempt at humor. This post is way too long already for me to go into my own political/theological beliefs.