No, there are only two requirements for running for president, age and place of birth. Congress can't amend this by law, only through a constitutional amendment.
Civics 101 would be based on the Constitution, the US being a Constitutional Republic rather than a Democratcy. And Rule #1 of the Constitution is...? Civics (and US law) also covers stuff like how election rigging is generally considered illegal, and undemocratic. I'm pretty certain civics (and US law) also requires neutrality in Federal agencies. But the dear'ol Dems do like to say their opponents are the biggest threat to democracy, which is classic projection.