Nice thought but it won't matter at all. People will still only consider the "news" that agrees with their already held belief system as being accurate, no matter how far out it may really be. How many times have you seen recently someone point out "the liberal bias" of the media? And if you only consider the "mainstream media, like the 3 major networks and left leaning sources like HuffPo, DailyKos, and the NYTimes" you'd be right or at least pretty close to right. But if you consider all the sources where people get their news I think it would pretty much balance out. Between Fox, talk radio, and the right leaning sources online I think they definitely at least come close to balancing out the total picture.
The problem is, those on the left tend to see the mainstream media I just mentioned as the news, the truth, the facts, etc., while they see those right leaning sources I just mentioned as right wing propaganda. Those on the right see the right leaning sources I just mentioned (the ones they already agree with) as the news, the facts, etc., while they see the mainstream media as left wing propaganda. My problem with the mainstream media is that they are biased towards the left, but they deny it, my problem with the right leaning sources is that they are biased towards the right AND after the Pavlovian brainwashing epidemic from W's first term they managed to establish (and sadly this is still true today) that the left is biased but we tell the truth, after all we're America's most trusted news sources, until you call them on some utter BS piece they run and then they retreat back to "well we're news and opinion" or "we're news and entertainment". I read a piece a while back where Sean Hannity called himself "a talk show host" and therefore he could be held accountable for spewing BS and calling it truth.
Until both sides actually hold their own "news sources" accountable for telling the actual truth, the actual facts, etc., this will literally NEVER change. The left doesn't care what the right thinks about anything, and the right doesn't care what the left thinks about anything. Real change can only come from within one's own group and let's face it between the classical conditioning of the past few decades and the arrogance and uber competition over perceived ideals of "my side" that's simply not going to change. As a teacher I can tell you for an absolute fact that you can't teach anyone anything until you've first convinced them that they don't already know everything. How many Americans do you know, in person, online, etc., who fit that last description?