McConnell and Republican leadership in both houses work with the assumption that the citizens want them to work with democrats. Bi-partisan to a democrat means agree with me or else. Democrats may give up something inconsequential but they get everything they want. McConnell does care.
I once called McConnells office to urge him to fight some idiot democrat legislation. The guy asked me if I was from Kentucky. I reminded him McConnell is the majority leader and he hung up on me. It was back when republicans were in control.
