Just a mental exercise...but...
But it IS spelled out.
A person who is not qualified to be elected President is not qualified to be elected VP. That’s what the Constitution says.
Thus: Having completed two elected terms as POTUS, Soetoro is not eligible to the office of POTUS. Therefore, he is not eligible to the office of VP.
Precedent has nothing to do with it. Our Constitution does not take account of “precedent.”