It depends on what you mean by religion. If religion is a set of beliefs that cannot be proven objectively, then, according to Judaism and Islam, two of the worlds major monotheistic religions, the answer is no. God does not believe, because God knows.
But, according to Christianity, God does manifest an opinion that seems incapable of objective proof: God believes that people are worth dying for.
If one had to give it a name, I suppose it could be called "Sacred Humanism."