Yes. It is even possible to be a liberal Christian. I am an orthodox believer, and except for abortion (I am a pro-life) and gay marriage, I am considered, on virtually every other issue, because of my faith and informed by the teachings of the Bible, especially Jesus Christ, pretty liberal.
That said, I personally strongly dislike using politically ideological terms to describe my faith. Jesus said what he said. His words were words of life, not politics. It should be telling that he never addressed the Roman government, which represented earthly power, but for a few very terse comments: his encounter with Pilate prior to his crucifixion (“my kingdom is not of this world”, “you would have no power over me if it were not given to you from above”), the trick the Pharisees tried to play on him regarding the payment of taxes (“render unto Caesar…”), and calling the puppet king, Herod, a “fox.” Jesus lived…and died…under the thumb of a brutal dictatorship that was just about as decadent and immoral as any in history, yet not once did he ever teach or preach about “rights”, civil or otherwise. On the contrary, he consistently taught the necessity of his followers abandoning their rights. “Take up your cross and follow me” and “If someone slaps you on your right cheek (this was a backhand slap, which meant an open hand slap was next!), turn to them the other also” are not exactly what we are taught in civics class.
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