It's what your side has been using from the beginning, so I am surprised to see you objecting to it now. :)
Your argument is Any person born here is a "natural born citizen" just because. (English Law says so or something.)
It allows split citizenship because if an American women married a foreign national, she doesnt lose her citizenship like the 1907 bill required. Nothing you have posted challenges this.
Mackenzie v Hare, posted previously. Prior to that, it was a mixed bag. Sometimes they did, sometimes they didn't. In any case, it was an unusual circumstance.
Mackenzie v Hare was a 1915 challenge to the 1907 law.
What about pre-1907 law?