I don’t think a court could constitutionally order the President to step down even if the court ruled Obama was inelligible. Congress would have to do that.
But if a court ruled Obama was inelligible, any congressman who voted to keep him in office would be guilty of treason, public pressure would be strong, and I think Congress would remove him.
The trick is finding a reason for the courts to examine the evidence, where the filer both has standing and the action requested is something the court has jurisdiction over.
There is the $64K question. I wonder if there is something he has done or bill he has signed that propels the average taxpayer to having standing if an attorney worded just right?