That's irrelevant.
All of the Trumps you cite are eligible, subject to age and residency.
We've seen so much of culturally clueless people, such as Obama and Niki Haley, who have done horrible cultural damage at least partially because they were brought up in environments where the parents were not in tune with US history, customs, and law. Being a naturalized parent signifies that the parents have sufficient knowledge of their country to bring up children in our traditions.