It is my conviction that God is neither a Republican nor a Democrat (nor a Libertarian nor a Green etc.). Unfortunately, the Christian Right has over the last three decades created the impression that to be a faithful Christian means voting a particular party line. There are also people on the Christian left who would have us believe the same thing only they would advocate for the other party. The truth is that both major parties have sound and faulty positions. One should participate and vote according to one's convictions.
The Baptist Center for Ethics has produced a DVD entitled Golden Rule Politics that will shed some good light on this most important subject. You can read about it and order it here.