The Court will not decide who is President if Obama is not qualified. Congress actually determines still if Zero is not qualified no matter what the Court does or does not do.
When the Electoral votes are certified and delivered to Cheney any Rep. and Senator can object.
Not one January 22 they can't. Then it does become an impeachment hearing. Now are you telling me that after bHo is sworn in they will do anything? Really?
It will be an MSM led destruction crew on the Republicans, and (like during Clinton's time in office) the public will not push for anything. 3/4s or more who don't want to be bothered "with all that political stuff".
I doubt even if the court takes this up they will not finish until well into the following summer or next year. The electoral votes will not matter at that time.