Digital Performer used to be the DAW of choice on stage, and I think it still might be among the top acts, but I do see a lot of Logic and Mainstage lately. But, yeah, almost all touring acts now, large and small, use computers on stage.
One trend that I notice is towards a clean stage. Not only no amps on stage, but also a minimum of pedals. Sometimes just a tuner. For that kind of stage, an AxeFX offstage, controlled by a DAW to do preset/scene switching in addition to click tracks is the way to go. It's not going to work with a highly improvised show like Govt Mule, but that kind of set up is widely used by a lot of acts these days.