There isn’t a chance in hell that a court would throw out of office a man who won the popular & Electoral College votes. At most, it would be handed over to Congress for them to decide if he should be removed.
I agree, But I don't think it would ever get there, because, absent proof Obama was not born in the US, I think any court would declare him an NBC for the exact same reasons the Indiana court specified last year, with maybe a 14th Amendment argument tacked on.