Senate Majority Leader Harry Reid (D-Nev.), who has long been angered by the Washington Redskins team name, is among the lawmakers targeting the NFL as the league tries to recover from its handling of a recent rash of domestic violence and child abuse incidents.

Reid’s teamed up with Sens. Maria Cantwell (D-Wash.) and Tim Johnson (D-S.D.) to propose taking away the NFL’s tax exemption, for as long as it promotes the Redskins name.

Sen. Cory Booker (D-N.J.), himself a former Stanford football player, has a proposal that would scrap the exemption for all professional leagues, and send the proceeds to domestic violence prevention programs.

But lawmakers who have long battled the tax exemption don’t see any reason to believe Congress will act soon.