Supposedly he was not born in in a U.S. Military hospital. I think McCain’s case is shakier. I do think Obama is clearly ineligble even if he was born in Hawaii.
1. 14th Amnedment writer said natural born required two American citizen parents.
2. The father was a British citizens so Obama at Birth was a Brit citizen. The Framers were VERY concerned and against anyone becoming POTUS that had any issues like Obama’s. They were very worried specifically about any possibly British agents or loyalist or their offspring becoming POTUS. It was a very BIG issue to them. SCOTUS needs to consider this. The reason they are there is because of the Framers.
If Obama was born on US soil, he is a natural born citizen thru jus solis. It wouldn't matter who his parents were except if they were diplomats accredited to the US.
United States v. Wong Kim Ark, 169 U.S. 649 (1898)
Wong was found to be a citizen because he was born in the United States, even though both his parents were Chinese citizens.
The issue was the meaning of the phrase "and subject to the jurisdiction thereof". The government maintained it excluded Wong because his parents were subjects of the Chinese Emperor. But the Supreme Court decided it applied only to children of foreign diplomats or occupying armies.
If the precedent were overridden, Bobby Jindal would be a foreigner. His parents were Indian students and had arrived in to study in Louisiana when his mother was four months pregnant with him.
That would have disqualified someone like Alexander Hamilton from being President (if born after the cut off date), so I doubt that was a widely shared interpretation.