Assume Moyers is correct that their is a "right wing branch of the media." What Moyers and the rest of the Alliance of the Arrogant miss is that their branch of the media is the left wing. So long as Moyers, Rather, et. al. continue to act superhuman, i.e. like they have no biases and, even if they did, they would never let those biases seep into their news coverage, they will be blowing in the wind.
"Hey Pot, your black," stateth the Kettle.