I am not in favor of censorship. In any form.
Look at it this way: the problem is not the liars, the problem is the people who believe the bullshit.
The problem is the people who "believe" what they hear on CNN, and MS-LSD, and Fox. And NPR, and PBS, and CBS ABC list goes on ad nauseum.
The problem is this: "media" has to be sensational to stay in business. In a good world we would have genuine investigative reporting to expose and counter the bullshit. But such an effort could not stay in business in today's world. Because it's boring. People want the sound bites, they don't want to listen to half an hour of evidence.