Our Constitution was not framed to support a "Party System of Governance". In fact it was written as a "States System of Governance", and some of the more foresighted framers even warned against the formation of "parties" as a corruption of the system that would be dangerous to the republic.
The idea of representative republics really only works when representatives are directly accountable to the people themselves, or the states themselves in the case of Senators, and depends on those "statesmen" being independent thinkers actually concerned for the welfare of the states, and the citizens of those states, and voting to protect the interests of those states and people.
The electoral college idea was a further essential, as it gave the electors, as supposedly intelligent statesmen, the right to cast their votes as their conscience would direct in seating the new President, with accountability only to the States that selected them. States, mind you, where the people did have local elections and could replace malfeasant state officeholders. The amendment requiring popular election of senators was a huge change in the American system. . . the senators before then were selected according to State constitutional provisions to represent the State interests, and thus preserved the importance of the States as members of the Union. Still ultimately they were accountable to their state voters, just not directly. If you're going to go popular on the Senate, I guess we could argue they should have created "Half State" districts so they would be even more directly elected by the people in their districts, and more accountable to their interests.
One approach to returning power to the people, as opposed to the "Parties", would be state legislation allowing/requiring political parties to have internal elections for registered party members to elect their party leaders. The current bylaws of the parties are designed to avert that "catastrophe" and allow some inside "elites" to manage their parties as private organizations.
Another thing we can do is just depopulate that party system and refuse to vote for their candidates, putting up independents on the ballots.
