California's legislature is controlled by the Democrats and Schwarzenegger is considered by many (including me) to be a RINO who only acts conservative now and then to get votes, but then makes numerous concessions to the left. He's barely a Republican at all, to be honest.
Maybe that didn't convince you. Well, try this: Try to get into a townhall meeting featuring Barack Obama, and ask him about the anti-game law. If he doesn't give a definitive answer, which is likely, then guess what? He could care less what happens.
It's true that the network tends to pander towards conservative people and features conservative commentators, but that doesn't necessarily mean they are conservative themselves. I would say that they are more likely to look for attention-grabbing headlines that shock their viewers rather than seriously assess a claim like "videogames kill people" or whatever. It's a tabloid mentality, not a conservative mentality, in other words.
