What do you propose they do?
Edit: Here's a start: Be more critical of the news. Content a bit; the scope of topics that are discussed more importantly.
The problem with undermining trust in the news media is that people will just replace that with blind trust with something else, and we have no way of really knowing if that something else will be worse. This is what happened with conservatives and led to the rise of Infowars.
Part of problem is that the most unproductive and unpopular and poor ideas are the most loved ones among their elites.
Well, at least some of them left (or some part of it) started entirely on its own.