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."and subject to the jurisdiction, thereof", meaning the US Constitution.
Aliens have never been subject to the jurisdiction of the US Constitution, they are still citizens of their country and owe it their allegiance, therefore their children born here are still citizens of their father's country of origin.(Wong Kim Ark v. US, para 34)
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.