The only way to do that is with a constitutional amendment. Such claims are very hard to prove, however. I read that a Florida judge issued a preliminary injunction last night preventing state or county officials from certifying as final the presedential election results. It's very unlikely. Although Florida courts can order a new election, it's never happened.
Judges consider a new election only as a last, last resort.
Courts tend to resist getting involved in the political process and accept a considerable degree of messiness and mistakes in it. It seems from the discussion during the hearing that the justices are dead set against the industries' case. Yep, what you read is right. The justices were much more sympathetic to the federal government than to the industries challenging the new standards for smog and soot. I think the American Trucking Associations and other groups have a very tough sell here.