Although the Constitution Party is ballot-qualified in South Dakota, it has no nominees on the November 2018 ballot because it has two factions, each of which chose its own nominees in separate conventions. After a state court refused to adjudicate the internal dispute, one faction went to federal court, and the other faction intervened. But for many procedural reasons, the federal court also declined relief. Here is the opinion in Johnson and Hubbel v Krebs, 4:18cv-4108, issued October 1. The case had been filed on August 29. Thanks to Kurt Evans for the link.
ALL parties should have internal judicial bodies, if possible.
BUT — Nominations for PUBLIC offices is PUBLIC business.
See the now olde Texas White Primary cases 1928-1932.