We voters don;t vote for a candidate, we vote for an elector, and essentially, we vote for a political party.
Anyway, that detail aside, your assumption is not a good one.
Plus, now we have the wide-open issue of definition of Natural Born Citizen, and nobody wants to touch it. 100% of Congress has opened the door to anchor-baby presidencies.
We the People want this 'touched.' How to get it done is another matter. A new president and congress is a start. Remember in November America.