I think the following Constitutional amendments would go a long way to restore sanity.
(1) National Voter ID Requirement
(2) Elimination of Gerrymandering
(3) National Right to Work
(4) Repeal of the 17th Amendment
(5) House of Representatives elects the President; Senate elects the VP
I believe the first 2 might actually be popular and have a chance to pass. Even California passed an anti-gerrymandering law recently. There will be 30 states w/Republican governors. So, it's not impossible.