Congress exercised its responsibility on January 8, 2009 when they certified the vote - without objection - and when the certification was signed by Richard Cheney of Wyoming.
The Supreme Court has NOTHING TO DO with elections or with the conduct of Congress' mandated responsibilities - and God forbid they ever claim any such power.
Article III of the US Constitution says the judiciary is given the responsibility of deciding any cases resulting from the US Constitution or the law.
The US Constitution says that there are certain requirements for anybody who is even ELIGIBLE to be POTUS. If there is a case arising out of the Constitution’s requirements for eligibility, the correct mode for people to “petition the government for a redress of grievances” (a First Amendment right) to decide that CASE is the judiciary, which includes SCOTUS.
Congress has no power to decide legal cases. They are totally irrelevant to this discussion.