I am in the process of putting mine back together after rebuilding my shifter with Rodney's rebuild kit.
It looks like you would be able to cut the skeleton into two sections for ease of removal. There's a flimsy area near the forward shifter mounting bolts. If you cut there, the entire rear section of the skeleton will come out without too much trouble.
If you're messing with the shift cables, the rear part of the skeleton has to come out since the cables run under it.
I'm still trying to get mine put back together. I knew it was going to be a major PITA when I realized I had to remove my aux. gagues to get my shifter out.