Would the difference in parent citizen status between Obama and Goldwater make Obama different from Goldwater though?
Not if he born in Hawaii, either before or after 1959, when it became a state. Since he was most likely born in 1961, it was already a state, and it wouldn't make any difference if his parents floated there on a palm tree log.
If BHO was not born in Hawaii, or any other part of the United States, then yes he parental status would make a difference, as has pretty well been hashed out here.