In a sense Jesus was liberal in his time. But once the changes he brought about were implemented and his Church well-established (after His death of course), there's no doubt he would be conservative in preserving the very changes he brought about.
But to say which party Jesus would vote for in today's world is a stupid argument. He is above politics of our sort. Of course he would be against abortion, gay marriage, and censorship of religion, but there are quite a few "conservative values" that he would be against I am sure. As I said, He is above all that.
Sometimes I wish He would drop by (not for the last time!) and slap a few people around, make some of those deep intelligent thoughts He's so loved for, and set things right again.
Someone here on FR had a tagline that was something along the lines of:
God is not a Republican. But he is definitely NOT a Democrat.