So he is free to run as VP, but not as P. Got it. The Speaker of the House would move up to next in line.
I can’t determine which it is? Denseness or sarcasm?
You are technically correct (since the Constitution only makes direct reference to eligibility towards "the Office of President"), but (assuming one takes the 'birther' position) what court in the land is going to prevent a sitting Vice President taking over as President due to proper course, once that individual has won a Presidential election as a Vice President. So, it makes your technicality a rather moot point of argument.