As Bigun also pointed out, at least you have one thing correct. But that is also IRRELEVANT. It's their citizenship status at the time of the offspring's birth that matters. Neither Obama's nor Rubio's parents were citizens AT THE TIME OF THEIR BIRTH. You can't say that because they were naturalized later, that Rubio is eligible. If that's what you're trying to say. That would be some kind of ex post facto decision.
Qualifications for the presidency are:
Age 35
Born in the US
Where a candidates parents were born is immaterial.