Psst! The problem is FPTP!

If a normal, proportionally elected parliament, there would be room for an alternative that vouches for the same opinion, but due to their slightly lower level of corruption would be seen an alternative for people who votes republican. Thus, through a free market of ideas (something ‘muricans ought to like) the party that was abandoned by theirs electors would clean up their act and come back stronger.

It works in almost every other democracy!!

PS: you’d probably have to switch your presidential election system to use Approval or Condorcet voting systems.