In which case, Trump's VP would be Herself, her crooked and skanky Self! At least until Trump's Justice Department got into gear. And God help us if the Donald should croak first!
But that got changed when the Twelfth Amendment was ratified in 1804. It required that each elector vote separately and specifically for President and Vice President, instead of simply casting two votes for President. That reform gave rise to the notion of a ticket, in which a presidential candidate teams up with a compatible vice presidential candidate.
It took a while for the process to be debugged. For instance, as late as 1864, the first Republican president chose a 'Rat as his running mate, in the interest of fostering national unity, in the wake of the Civil War. But, unfortunately, on 16 April 1865, the President got shot, and the Vice President became President. He was totally incompetent and escaped removal from office by one vote when he was impeached in 1868.
Thanks