That is a really good question. And the answer is that the people must replace that Congress with one that is not too timid to impeach. If the people are not willing to do that, then impeachment (and removal) is off the table.
The majority of voters must have the ultimate say in the matter.
But I'm not done yet. What if the elections are truly rigged? Or what if the media has so distorted things that the people truly don't know what's really going on? Then what?
I suppose we must hope the courts step in. Or hope for a convention of the states.
Otherwise, it's either tyranny, or some sort of conflict. And by conflict, I'm not necessarily saying violent conflict. It could be massive civil disobedience.
How do the people "take out" the media?