Couple of things; the 14th amendment was not written by the founding fathers or anyone like the founding fathers. It was written by Yankee senators after the Civil War. Second, there is over 100 years of Supreme Court jurisprudence on the matter, all of which says you are incorrect. Let me know when you get all that consistent caselaw overturned.Maybe and maybe not. Study the 14th Amendment carefully, in particular this caveat: "and subject to the jurisdiction thereof."
The Founding Fathers added this qualifier for a reason. What that reason is lies at the heart of whether "anchor babies" are citizens. A child born to parents (both) who are in the country illegally may well not past this test.