Sorry, but the 14th Amendment and Wong Arc make it clear that the parents must have legal US residency for there to be birthright citizenship for children.
Throughout US Law there is the principal that you cannot legally gain from an illegal act. Breaking immigration laws is therefore a reason for both the parents and the child to be denied citizenship........
You have separated the chaff from the grain. Many if not most people like the illegal immigrants have not done such. I suspect they do not because they want to intentionally contaminate the grain.