BTW:
Nader barred from New Mexico ballot
http://www.usatoday.com/news/politicselections/nation/president/2004-09-17-nader-new-mexico_x.htm
While interesting it has no bearing on our discussion. The judge did NOT say Nader was not qualified to be president merely that he could not legally be on the ballot as an Independent under New Mexico’s law because he ran on party tickets elsewhere.
It was not a constitutional question.