So, if a baby is born in the USA ( regardless of the baby’s parent’s’ citizenship ), is the baby subject to the jurisdiction of the government of the United States or not?
Jurisdiction as I understand it, means an area with a set of laws under the control of a system of courts or government entity which are different from neighbouring areas.
So, does a baby born here in the USA not deserve the protection of the US government?
Indeterminate without the citizenship of the parents. And the original question was regarding Natural Born Citizen status of US Presidents, so if the baby in question did not issue from US citizens, the baby cannot be a Natural Born US Citizen qualified to be President of the US.
It seems your problem is with the Cornell law reference to 'natural born', which left out the required "and subject to the jurisdiction thereof". I don't know if you could have picked a more 'woke' and 'broke' source for legal argument.