No, they are not. The clause is:
The Citizenship Clause of the Fourteenth Amendment states that [a]ll persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.
Correct - Trump should issue an executive order to stop allowing citizenship to the child born here which will result in a court challenge and a final interpretation by the Supremes.
“and subject to the jurisdiction thereof” is what exempts those with a diplomatic passport. Also invading armies. Not much of anyone else.