Really! Please read what President Trump actually wrote. He was talking about the negative way CNN presents the US to the world, and the need to present a more accurate picture of the US to people in other countries. He was not saying anything about controlling what US citizens hear within the US.
There is nothing seriously crazy about that idea of presenting a more balanced picture of the country to those outside the borders -- other countries do it, see for example the BBC's Worldwide Service or Russia Today. The flaw in the idea is that, as Jcbl points out, the US has already been running Voice of America for decades. Of course, VOA has the same problem as CNN -- no-one pays any attention to them anymore.