The SC gave themselves the right to interpret the meaning of the Constitution. Congress has not taken that right away from them.
It appears that a majority of the Court agree with the opinion of US District Court Judge David O. Carter who stated in his opinion on an Obama eligibility lawsuit:
“There very well may be a legitimate role for the judiciary to interpret whether the natural born citizen requirement has been satisfied in the case of a presidential candidate who has not already won the election and taken office. However on the day that President Obama took the presidential oath and was sworn in, he became President of the United States. Any removal of him from the presidency must be accomplished through the Constitution’s mechanisms for the removal of a president, either through impeachment or the succession process set forth in the Twenty-Fifth Amendment.
Plaintiffs attempt to subvert this grant of power to Congress by convincing the Court that it should disregard the constitutional procedures in place for the removal of a sitting president-removal for any reason-is within the province of Congress, not the Courts.”—US District Court Judge David O. Carter in “Captain Pamela Barnett, et. al. v Barack Obama, et. al.” October 29, 2009
He is using that argument as a strawman as the court would only declare him ineligible. removing him would then be left up to congress.