Sorry, Ann .... questions of anchor babies aside, that quote doesn't really say what you want it to say. The guy was talking about "the families of ambassadors or foreign ministers." It simply does not cover the example you gave above.Read the first part of the sentence:
"This will not, of course, include persons born in the United States who are foreigners, aliens..."
Yes, it does.
"This will not, of course, include persons born in the United States who are foreigners, aliens..." Yes, it does. No, it doesn't. You can't just chop the sentence. The first part describes the part I quoted. If he were making a laundry list, there'd be an "or" in there. But there's not.
Basic grammar....