Who would benefit if Congress could overturn US Supreme Court decisions?

The Legislative (Congress) and possibly Executive branches would benefit if Congress had the power to nullify US Supreme Court decisions, because their power would then be unchecked by the Judicial branch.

Such authority would violate separate powers established by the Constitution to ensure no single branch of government becomes too dominant, and would allow Congress to ignore the Bill of Rights and other Amendments, to the detriment of US residents.