If incontrovertible evidence came to light that showed Obama was not eligible, civil war would be unavoidable. Even if Congress would have the Constitutional authority to choose someone else, any selection they could make would be seen as illegitimate by a very large percentage of the population. The Supreme Court is not going to undertake any action that would produce such a result. It simply isn't going to happen.
The remedy that would best honor the Constitution, and have the best chance of averting civil war, would be to require that Obama provide prima facie evidence of eligibility. Since the state of Hawaii claims to have his birth records, the Court should state that Obama will be deemed eligible for office as soon as the state of Hawaii states officially and unequivocally that he was born there. Obama is free to authorize the release of that information whenever he sees fit; if January 20 comes without him having authorized the release, Biden would serve as Acting President but Barack would remain President-Elect, able to serve as soon as the state confirms his eligibility.
Under that scenario, Barack could be kept out of the White House without his ineligibility ever having to be exposed. Rather than being declared "ineligible", he would be "not eligible yet", and given clear instructions how to become eligible. Any delay beyond that point would be purely Barack's own decision.
“If incontrovertible evidence came to light that showed Obama was not eligible, civil war would be unavoidable.” Old FRiend, if the dumbed down would riot rather than honor our Constitution, then it is time for that civil war to fire up! Pissing away our contract with the federal government is no way to end this once great Constitutional Republic. If we force the contract to be enforce and obamanoids use the Kenyan methodology of Obama and Raila Odinga, time for those foment the rioting to be flushed out and killed off. You don’t feed sugar to a raging bacterial infection.