Well, thinking is an unsubstantiated opinion.
The simple truth is, an exhaustive review of the debates during the making of the Fourteenth Amendment is void of any evidence whatsoever to even remotely conclude its drafters, or the people when adopting the Fourteenth Amendment, knowingly and willingly intended it to include within the meaning of a natural-born United States citizen, children born to foreign nationals on American soil who violated or subverted U.S. statutory laws upon their entry into the United States.
If you have evidence to the contrary, please provide that evidence.
Currently, unwritten federal policy, and only unwritten federal policy, not statutory law, now recognizes the offspring of illegal entrant foreign nationals, born on American soil, as a natural born citizen of the U.S. (See: 8 U.S. Code § 1401(a), which begins:
"The following shall be nationals and citizens of the United States at birth:
(a) a person born in the United States, and subject to the jurisdiction thereof")
An extensive review of the debates of the 39th Congress, which crafted the 14th Amendment, strongly indicates the qualifier ". . . and subject to the jurisdiction thereof . . . " is a bar to bestowing natural-born United States citizenship to the offspring of illegal entrant foreign nationals born on American soil. If you can find evidence to the contrary, please provide the documentation here.
JWK
“If aliens might be admitted indiscriminately to enjoy all the rights of citizens at the will of a single state, the Union might itself be endangered by an influx of foreigners, hostile to its institutions, ignorant of its powers, and incapable of a due estimate of its privileges." - Joseph Story