[Replying to historia in post #1
Will / Should Trump continue to shape the future of the Republican party now that he is out of office?
Answer: At least in the 2022 and 2024 election cycles, they will. Should they? Answer: No because they've gone full-bore fascist.
Will / Should the stain of defeat and insurrection compel the GOP to chart a different course?
Answer: In normal times, of course to both. However, these are not normal times.
Will / Should Trump and his supporters found a new political party?
Answer: Very probably not, because to form a viable political party is nigh to impossible in this day and age. The Democrats and Republicans generally have an unspoken agreement to have a duopoly. The Republicans don't want a party further to the right competing with them, and the Democrats don't want a party further to the left competing with them. That way, those on the far left and far right do not have a viable alternative. This is codified in laws of the states and territories (Puerto Rico has varying parties tied to retaining its commonwealth status, becoming a state, or becoming independent). For a 3rd or 4th party to get on the ballot they must get yea number of votes for President or Governor or whatever in the last election. Libertarians, Socialist Workers, etc., usually make it but these are not really political parties so much as interest groups. Now in New York, they have the Working Families Party, the Conservative Party, The Liberal Party, The Right to Life Party, etc., but, get this, a candidate can be the nominee of two or more parties. In 1970 James Buckley, a conservative, defeated liberal Republican Senator Jacob Javits for the Republican nomination, but Javits won the Liberal Party nomination. So there was a three way race in November that year. Buckley won, but by less than 50%. I forget who the Democrat was, but he had to compete with Javits for liberal votes so Buckley won. Buckley was defeated for re-election in 1976 against a more united opposition. In just about any other state, that's not possible. George Wallace in 1968 and H. Ross Perot in 1992 and 1996, got on all state ballots, but that was a rarity. If you want to start a political party from scratch do it in another country. Israel has a large number of parties as does Germany, France, and Greece, to name a few.
In Great Britain in about 1967 a huckster named Lord Such ran for Prime Minister on the Teenage Party which was sort of libertarian. It was a joke. You can do that in the U.S., but people have to write in your name.
Keep in mind generally the election judge determines who can vote and in what manner. Most are elderly and not in touch with the nuances even if they attend training. Texas generally does not allow write-ins in primary elections. in 1976, Jerry Brown ran for the Democratic nomination for President but he wasn't on the Texas ballot. A couple came to one polling place and wanted to vote for him, so the election judge gave each a blank affidavit form which stated "I hereby promise and swear [fill in the blank]" and they both wrote "Jerry Brown" in the blank, nothing else. I worked in the county clerk's office and found them. I think we just put the affidavits in a file cabinet and that was that, since they didn't count anyway.