According to this The New York Times leans more to the left than Politico. So by your logic The New York Times should also be banned. I really have a hard time equating The New York Times with Breitbart.
Note: I never said anything about banning anything. Also, while this chart is probably more accurate than the other, I read Politico, NYTimes and many of the others here, and I'd personally rate them differently: NYTimes is fine, but Politico is further to the left of it.
