If all judges with jurisdiction over a case have a conflict of interest, they do not have to recuse themselves. If a lawsuit is filed against several people, it can be dismissed partially, with only relevant individuals included. In theory, could someone force the Supreme Court to hear a lawsuit by naming every other judge in the country as defendants, along with the actual defendant, causing all judges except SCOTUS justices to have a conflict of interest?
If one of the parties demanded a jury trial, how would that work? Can there be a jury SCOTUS trial?