He is conservative on some issues, moderate on most, and liberal on a few. Like everybody else who is NOT an idealogue.
Actually, I'd say he's left of center. Say 40% conservative, 60% liberal. He has few conservative ideals.
But a social conservative? The premise of this article is laugheable at best. It really does show that Arnold has a real problem. He is trying to win over social conservatives but it is very dificult to trick "social" conservatives about your beliefs. I know that California is a very liberal state but for the author to try to redefine a social conservative in this article (if you could call it an article) is intellectually bankrupt and desperate.