Wild ass maybe, but might make more sense than what we do now
Perhaps, under your scenario, presidential candidates have to be nominated--ideally by several people--before becoming part of the nomination process.
Of course my mind flashed to the election of popes. "Look, white smoke from the White House--yay, we have a new President!"
And after a while in office, if that new President turns out to be Frankenstein's monster, the villagers can storm the castle...metaphorically speaking, of course.
I like it--though I may have to buy a new pitchfork.