I would think you would change the wheels to street/roadrace wheels so you could use street/roadrace tires, like the Supermoto bikes.
You would need to add a tail light. That's mandatory at most tracks so you can be seen after dark. I would think you would also have to do some work to lower the bike so it won't try to wheelie, but that might be the most difficult part because there will be no lowering links for the shock available. You would have to fabricate something yourself, or get a machinist's help. A lowering strap might work on the front, but not sure how it would mount if you don't have 2 mounting locations for front brake calipers.