The motor is a 1983 R80 RT that was changed over to points ignition ..... Still has the 31/9 (3.44) final drive.
My wife also owns a R65/80 Frankenbike - they accelerate pretty well for an airhead don't they..... I used to pull wheelstands on her bike for fun and giggles (and also because most people wrongly believe that you can't do wheelies on a shaft drive bike, or an airhead for that matter) but SHE put an end to that about 20 years ago....
Like yours the "points in a can" system was transferred from the blown R65 engine to the R80 engine. After eating several Piranha optically triggered ignition systems I fitted a Boyer Bransden system in the early 90s, it is still working perfectly.
It took until mid last year, or 28 years of nagging, for her to get around to buying a set of crash bars that suit the bigger engine, or to put that another way, for 28 years the rocker covers protected the engine crash bars from damage due to the R80 engine being a few centimetres wider than the R65.
Oh, by the way, if you frequent some other BMW forums be prepared to be called a liar because the "small" R65 frame apparently cannot mount the bigger engine - there are some really dumb people prepared to hold their clueless views at the top of their lungs - but you may have already discovered that (BTW the front part of the frame, at least in regard to the engine and gearbox mounts are identical from the R60 through R100 and in fact I believe that you can bolt a "modern" engine and gearbox into an R69 (and older)). The short forks and the SWB swingarm and rear subframe are the points of difference for the R65, pretty much everything else is the same as its big brothers.
Look forward to interacting further with you.