Yes, you would need to measure the back-lash between the diff and the viscous coupling and adjust the shim size so that it stays within the correct tolerance (you need to do this with any LSD install regardless of make/model of car; it doesn't only apply to this).
I agree, it is interesting that the viscous coupling can still be retained and used (of how much use it will be though, considering it is now coupled to an LSD and not an open-diff, I'm uncertain).
Does anyone know the bearing part number for the carrier taper bearings (No. 2/3 & 8/9 in the diagram posted above)? Not the oem part number, but the bearing part number that is etched onto the bearing surface? I want to see if I can source these bearings as well. If I can, and they are not ridiculously expensive, I will include a set of these FOC as well, seeing as it is best to replace diff bearings anyway whenever you install a new LSD