No, to be a citizen of the US you must be subject to the US Constitution and if you are born here and a citizen of another nation at the time of your birth, you do not receive citizenship of the US.<quoted text>
Answer: "and subject to the jurisdiction" simply means having to obey US laws. Foreign diplomats are not "subject to the jurisdiction" because they do not have to obey US laws. Everyone else who is in the USA is "subject to the jurisdiction."
The idea that a foreign tourist in the USA is not "subject to the jurisdiction" of the USA and hence does not have to obey US law is nutty.
On October 1, the US Supreme Court turned down two birther appeals of one of the TEN cases that had all ruled that Obama and McCain are Natural Born Citizens due simply to their place of birth, on US soil, the Farrar case in Georgia, which had ruled that "children born within the United States are natural born citizens, regardless of the citizenship of their parents." By rejecting the appeal, the US Supreme Court allowed the ruling of the lower court to STAND.
The US Constitution has never recognized a dual-citizenship.