Our elected officials should be answerable to we the people at all times. If the people are dissatisfied with the performance of a congressman or even the president they should be allowed to petition for a recall and with enough signatures a recall election should be held. If the president is recalled the vice president should sit in the seat until a new election can fill it.
As LEGAL citizens of the United States, you can impeach the President. When the President takes the Oath of Office, there's a whole list of things he cannot do. If the President misconducts himself or otherwise does something not generally seen as legal, the House or the Senate can impeach him. And then the President goes to court in both Congressional Houses and they decide his fate blah blah. You get the point.
To get Congress to start to impeach an official (I think it can be anyone, not too sure though), you probably need to write a letter to your Congressman and/or Senators.
You can't impeach someone if you just don't like them. And, technically speaking, you don't vote for the President. You vote for the state to vote for the President. Fun Electoral College stuff, so I won't go into that. But, yes, power to the people.
However, people may get too carried away with the power to remove ANY official. The point of separating our federal government into 3 branches is so that one does not get too powerful. In the suggested topic, the people would have ultimate power over any branch.
So no. We should not create an Amendment for something we already have.