Thanks for your help everyone
Once I took the two hex bolts out it was all pretty easy, like you said. I also pulled off the panel on the side of the dash where the fuses go which gave me a better view of everything (and boy is it ugly under there!)
My wife came out to the garage when I had the dash apart and screamed!

(Think maybe she doesn't trust me?)
Anyway, took out, and drilled out, the switch block with no problems. Boy, the light switch does look nice there, seems to make more sense than in the overhead console I think. (Why would Hummer want it up there anyway?)
As I have the electronic trailer brake setup I tapped into another 12v source next to that plug, one that would switch off when you turn off the ignition (another thing that made more sense to me).
Thanks again everyone!
