The Trump presidency is putting our system of  government-by-consensus to a terrible test.  So far the separation of powers and the checks and balances has held, but Trump demonstrated with the Birther Lie his ability to sustain a lie without evidence for 5 years.  
Perhaps this test will give us a chance to come to a new and deeper understanding of the healthy functioning of a government of the people--to correct the corruption--end the denial and avoidance of difficult problems-- and  renew our ability to hear each other and work together to find common ground for the best solutions.
But what would happen if we find a way of removing an incompetent president?  That won't solve the whole problem.  There's much more work to do.