The 22nd Amendment does not create constitutional ineligibility to the office of President. If it did, instead of saying "No person shall be elected to the office of the President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall be elected to the office of the President more than once", it would say, "No person shall hold the office of the President for more than eight years, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall hold the office of the President for more than four years."
Or, stated even more simply, "Any person elected to the office of the President twice, or any person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President who is subsequently elected once, shall after the completion of his service be ineligible to serve as President in the future".
But it doesn't say that now, does it?
Answering this question is way above my pay grade.
"Ceterum censeo 0bama esse delendam."
Garde la Foi, mes amis! Nous nous sommes les sauveurs de la République! Maintenant et Toujours!
(Keep the Faith, my friends! We are the saviors of the Republic! Now and Forever!)
LonePalm, le Républicain du verre cassé (The Broken Glass Republican)