Propose a constitutional amendment to provide a 'vote of no-confidence', with the effect of recalling the President, the Vice President, and the leaders of both parties in both houses of Congress.
Many details would have to be determined, but the basic outline of this proposed process is:
Step 1. 60% of legislatures pass resolution of 'no confidence'.
Step 2. Within 30 days, a national referendum is held, with the single question: "Do you call for the removal of the current leadership?" If 60% of those casting a ballot answer 'Yes', the process proceeds to Step 3.
Step 3. Within 60 days after the vote, an election is held for President, Vice President, and the individual House and Senate seats of the leaders of each major party. The current office holders are barred from running.