Naturalized citizens running for president

Imagine if we held a presidential election in class and since this is an honors class everything should be realistic so to make events realistic should Mrs. Palmer have to tell Henry, Sofia and Pedro that they couldn't run because they weren't born in America. How would that make them feel? This is not a situation that these first world citizens should be placed in, it's attacking their opportunity for equal rights even if it …

…citizens unnatural? Plus no one in the United States is truly natural; unless you count the true Native Americans who don't even speaka ay English. Everyone in America originally came from somewhere else adding into the giant melting pot of culture on which America is based. If this is all held to be true and all truths are held to be self evident, what is the difference between a natural citizen and a naturalized citizen?