The answer is most likely Regent :)
Congress has 4 ways to check the power of the Supreme Court. Legialatively they can pass new laws or by the ammendment process change the constitution. The other checks are they can adjust the size of the court, impeachment of Justices and the confirmation process of the Court justices.
Yes I think they can, if they are trying to agree on moral matters in "Public Policy" I don't see why religion would have to play a part in the discussion