If CNN and MSNBC news shows were shown to be deliberately false, they should not be allowed either. Free speech on public airways comes with an obligation that news serves the public interest. Telling lies/propaganda is not news.
It is opinion. Personally, I would like to see some sort of truth standard on opinion shows also. Perhaps the equal time rule should be reinstated. Perhaps there should be a review board with real teeth. But we are at a point where it is getting impossible to know what a true fact is, and democracy can not survive that. This - Truth - is important, one would think.