> I think it is rare to see some news that is not biased one way or another

I would posit that part of the problem is the implicit assumption that biased != factual. This assumption is true on both sides of the political spectrum, but it takes on a different character for those on the right.

I understand the sentiment that prompted you to post this, I'm just not sure what you propose is any kind of a solution. If anything I believe it may make things worse by affirming the bias != factual assumption.