Whether an illegal alien is "subject to the jurisdiction" of the US is unclear.
However, a legal alien who is a legal resident of a state is clearly under the jurisdiction of the United States. That would include Obama's father. His mother was a citizen. That means he was born in the United Wtates and under US jurisdiction, which makes him a natural born citizen.
Case closed.
The people who are bringing this case up before SCOTUS are no less delusional and stupid than those claiming McCain is not a natural born citizen, or those who claim Sarah Palin is not Trig's mother.
...why let this go to court? He is hiding something....