The jurisdiction means that the US can enforce its laws on them, not that they owe some type of allegience or all the other stupid crap people write. This clause only exempts the children of diplomats who are not under the jurisdiction of the US. When the diplomats wife travels from her embassy which is foreign soil, to the US hospital, pops the kid and then goes back to her foreign soil she is under diplomatic immunity to US law and not under our jurisdiction and therefor her children are not US citizens. Whereas the illegal alien mom has no such immunity. Although she has broken a law and is a criminal her child is still a US citizen. The child of a crack whore is also a US citizen.
If you don't like the law then try to change it.
And as far as "changing the law", it's only necessary to clarify the 14th: HR 190 by Bob Stump.
To put it bluntly, you're wrong.
See my post at #41. Kids go with the parents.