Yes on saving the side adjusters and caps. Save the pinion shims too.
Are you planning on checking pinion depth/backlash/gear mesh pattern with the new Sure Grip? (you should be) Are you replacing the pinion and carrier bearings? (you should be) What tools do you have to do all this stuff? Lot's of specialty tools needed to rebuild a diff. Holding fixture, pinion depth checking tool, spanner wrench for the side adjusters, bearing race drivers, 250+lb ft. torque wrench and cheater pipe for the pinion nut, yoke holder, dial indicator with stand for back lash, gear mesh checking compound, shop press with bearing splitters...if you know what you're doing you can get by without some stuff but that's not ideal.
I suppose if you are merely replacing the differential itself, you could potentially just install it without doing all that other stuff but that's not the right way to do it. That's why I asked what you're doing because once you're at the point of taking the ring gear off you're really not just slapping it all back together. Remember to Loctite the left-hand ring gear bolts.
