There's the small matter of the Qualifications for the Office in the Constitution that might be burdensome, though (Natural Born Citizen of the United States).
LOL!
Except NO ONE is demanding to see the proof of the qualifications. It is the supreme law of the land, with ZERO enforcement at this time.
If you’ll look at the constitution, while it has the birth qualifications, it does NOT appoint any office or person to be in charge of certifying candidates as meeting the requirements.
Congress should pass a law specifically identifying a certifying authority for anyone running for any national office.