Saying that Trump and supporters are trying to stifle the press is just plain garbage; rather they are trying to stop false reporting. You are right, just because Trump is making accusations doesn't make them so, but in the same light the news stories that NBC and most of the MSM are reporting doesn't mean that what they are reporting is accurate. They are no longer journalist striving to report the news accurately and without bias; they are a bunch of reporters who relay news in such a way as to sway their leftist viewpoints and agenda.
While I would lightly agree with the monopoly angle (which would really be hard to prove). The US government, especially the FED is not the watchdog and arbiter of truth.
Be VERY careful what you wish for, because the next Democrat controlled government may well be right around the corner. What is established today will be used later to clear the tables of Conservative sources.
The better solution is Conservative watchdogs in the press itself - Ben Shapiro style.
The shock in this election cycle was in finding out that the entirety of Conservative commentary was in the bag - From FOX, to Drudge, to Breitbart, to all of the talking heads.
The thing to do is establish new press leaders in the Conservative press, and quit paying attention to New York and LA.
But using the Federal government to exercise your will is a dire mistake, of monumental proportions.