The Supremes are praying this won’t ever get to them... they certainly don’t have the fortitude to rule according to the Constitution on this issue...but then that rarely stops them... see Obamacare for example !
State courts in Indiana and Georgia ruled that Obama is a natural born citizen. The U.S. Court of Appeals for the Fourth Circuit ruled that Obama is a natural born citizen. (I am talking here only about decisions on the merits, not the 100+ decisions throwing out eligibility suits on standing or other procedural grounds). The Supreme Court has declined to hear appeals from any of these cases, without a single recorded dissent. They are unlikely to ever agree to hear this issue unless there is a split of authority in the lower courts.
The supremes will probably say that the election eligibility issue is really a tax levied by congress on behalf of those without genuine paperwork.