Passports are preferred to birth certificates because birth certificates are easier to forge.
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I see.
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Both the Index of Hawaii Births 1960-1964 and the “Health Bureau Statistics” articles in the August 13 and August 14, 1961 Honolulu newspapers corroborate the birth date and the state of Hawaii has verified the authenticity of the birth certificate for two Republican Secretaries of State in Arizona and Kansas and for a Ronald Reagan appointed federal judge in Mississippi.
I don’t know what else can be done.
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Falsify my hypothesis, that’s what else can be done.
There’s no need to falsify your hypothesis, it’s a fun topic for an Internet discussion forum but it has no relevance to Article II section 1 eligibility.
What you have hypothesized can neither be proven nor disproven on the Internet.