The political tug of war at Calumet City Hall just tightened another notch. On Wednesday, attorneys for several aldermen asked a Cook County judge to throw out a lawsuit filed by Mayor Thaddeus Jones, arguing the City Council never signed off on the case in the first place. The clash over who actually speaks for the city in court is set to play out in a hearing at 9:15 a.m. on June 11 at the Richard J. Daley Center in downtown Chicago. Aldermen’…