The major factor isn’t if he was born in Hawaii.
It is about whether he was a “Natural-Born Citizen”.
His putative father was not a citizen, and his minor mother could not legally pass on citizenship to him.
I am not a Natural-Born Citizen, as both of my parents were British Subjects, with ties to the Crown, at my birth.
Re-read what you just wrote. If you assume your third statement to be correct, then Obama could only be a citizen if he was born in Hawaii, in which case your first statement is incorrect.
If Obama was born in Hawaii, Obama is a natural-born citizen, by precedent of the Supreme Court. And if you want to ignore that precedent because you don't believe in anchor babies, you stated his mother was a citizen, and there is no doubt that the child of a citizen, born within the boundaries of this nation, is a natural born citizen.
So in fact, his place of birth IS the critical issue.
bump