Umm, not meaning to rain on your parade, Rob, but isn't your bike a 79 ? You probably know better than I about this, but I'm not sure if just changing over the clutch carrier assembly/flywheel from your 79 will enable you to bolt on your 79's transmission to that 1982 era engine ? Do the flywheel bolt patterns match/line up, or is some extra machining/part swapping required ?
For the price, it seems like the engine purchase it was a pretty good deal, and less costly than replacing all the individual pieces, if you can make the transmission/clutch graft work - I've just never personally tried to put a post 81 light flywheel power plant on a pre-81 heavy flywheel transmission before. I am sure that if it can be done, you're the guy to do it, and the BMW is the bike to do it with ! Be sure to photograph things so the rest of us can learn !
-Mike