Respectfully, it's not the media's job. It is the responsibility of each American citizen to learn how the government works. The media can be a source of information, but it's still the responsibility of each citizen.
That being said, it is up to the President to get his message out. If a wrong message is getting out, it is up to him to go front and center to correct it.
Reagan had to deal with a hostile media and he found a way to do it. I believe that Bush is capable of doing it but for some reason just won't.
Reagan went over the heads of the democrats and the media and made personal appeals to the American people. Neither the junior or senior Bush did/does so. "W' should make these attempts. His speeches are generally very well delivered. In fact, his delivery is excellent. He would do very well.