The Bighorn was Kawasaki's answer to the big displacement enduro Yamaha RT-360. Displacing 350cc's, it was powered by a rotary valve two-stroke good for 28 hp, featuring oil injection (no premix) and had an early form of a capacitive discharge ignition. It was also equipped with adjustable Hatta forks to suit different riding off-road situations, but in reality it turned out to be a horrible off-roader and the Bighorn became known as the "Pighorn".
This Bighorn is a 3,100 mile survivor that I think shouldn't be chopped up into some sort of Franken-Bike vintage racer. However if it was mine, I would have a two stroke specialist like Klemm address the known weak spots of the Bighorn like replacing its heavy piston and addressing it reputation for detonation with a redesigned head so it would be good for another 40 years. Otherwise I'd leave it stock looking on the outside and enjoy screaming around my neighborhood in a cloud of blue smoke.
Gianni is Daily Turismo's Pacific Northwest correspondent. He spent many an hour in his youth in the 1970's staring at a Kawasaki Bighorn brochure from the local Kawasaki Dealer.