Hey Nathan, that's a great step-by-step "how to" you have. I'll be doing my first bridge replacement soon, and have the link in my "favorites" now so I can refer to it when I'm ready to proceed.
The only modification I'd add to your procedure for the inside cauls is to add two large, short woodscrews, one driven into each "outside end" (in the certer of the "triangle"), and close to where the caul makes contact with the soundboard. With the woodscrews in place, you'd be able to use a pair of strong magnets on the top of the soundboard to temporarily hold the inner caul in place until you have your clamps on. That might streamline things, and speed up the process a bit.
That would work for Chris' suggestion, too!