I'd be willing to believe that with solid proof (hospital or home birth, it doesn't matter). If hospital: which hospital? If home birth, name the address.
The other two points--(1) born to a foreign national father (strike one) and (2) adopted by another foreign national father and becoming a citizen of that father's country (strike two)--remain valid. They are damning. Unfortunately most American voters today wouldn't understand their significance.
Your post is perfect till the last few words. I don’t think its been proven if they don’t understand or simply wouldn’t care.