You overstated your case MUCH MORE than very slightly.
The intent was to exclude: * Indians IN TRIBES (but NOT Indians who had left their tribes and joined "civilized" American society) * AND those who had always been HISTORICALLY regarded as being outside of the rule of citizenship, and who therefore had always BEEN excluded: the children of foreign ambassadors, foreign royalty, and invading armies. It is also clear that Trumbull regarded the children born here of non-citizen parents as US citizens. He understood that to be United States law.
Children born here of permanently domiciled parents, as confirmed by the U.S. v. Wong Kim Ark ruling.
Obama's father was never permanently domiciled in the U.S. He was always only in the country on a temporary basis.
Since Obama's father was never permanently domiciled in the United States, was always in the country on a temporary basis, and his "Application to Extend Time of Temporary Stay" is public, WKA does not apply to BHO II.
See my comment at 424.