well, the CVT transmission idea would take alot of work. i ride snowmobiles as well. these new engines transmit so much power that sometimes you will have problems with belts lasting even on the sled.
Too bad. Seemed like a lot of power. There was a series in the NorthEast for oval track cars that ran these. They were called "Cup Lights" and the series was run by a guy that's big in the snowmobile series. At least that's what I got from Google. Seems they faded away a year or two ago.
I think the "traction Control" comes from the way it will change ratio when the wheels start to slip. At least that was the case on a Motocross bike they used to make called the Rokon - another New England thing.
Here's a Yamaha 1.8L 4 cylinder with gear driven supercharger.
That sounds pretty suitable for a track build. I guess there is some advantage to a motorcycles built in transmission - but it's a mixed blessing with lack of reverse etc.
I suppose that a PWC or snowmobile generally outlast the motor where a motorcycle probably generates more crashed or broken vehicles with good motors. So maybe they're hard to get. A Yamaha 1800 cc sounds like an interesting item though.