Bill Clinton is ineligible to the office of VP.
See Amendment 12:
...But no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States.
You may be very right, but it would be litigated.
One argument would be that intent of 12th was only for issues involving special circumstances selection of President and that element of the 12th was superseded by the 22d.
The other argument would be the “plain language” one.
My bet, the prohibiting provision of the 12th would be upheld (5/4) .... but what the heck, I still argue there is no FEDERAL CONSTITUTIONAL “Right to Privacy”, ergo; Roe v. Wade is wrong on that grounds (I’m not getting into the moral or ethical issues), and abortion is neither permitted nor prohibited federally and it is a states’ issue.