Are children born to illegals on US soil NBC?
What the courts would decide, I don't know. I do know what they "would" decide regarding children of legal immigrants, because that is settled law. Such children are natural born citizens.
You asked ‘ Are children born to illegals on US soil NBC?’
In my frame of reference such children are not NBC because of the requirements for parents to be citizens at time of birth. I believe the Founders wisely considered family allegiance to the USA be as a critical requirement for NBC to the extent possible to be ascertained. When the question arises I not only think of Mexicans or other Latin Americans but also of the two sons of the current President of Egypt who were born in the USA. I believe that the Founders wanted to make sure that the requirement for POTUSA was as ironclad as possible to assure a POTUSA had no foreign ties that might compromise their duties to/for the USA. The wisdom of their thinking and writing is being held to test under Obama and his enablers including even government officials.