Bolt it on. Install the clutch or CVT, chains, belts, etc. Adjust engine by sliding back and forth to tension belt/chain/whatever. Connect remote throttle and kill switch. Align sprockets/pulleys/whatever side-to-side. Ride.
It depends on what size jack-shaft you want to use. If you don't have a preferred size you should just go with 3/4", it is a more common size. Either size jack-shaft should have a bearing on each side of the driven unit to support it.
I know this isn't what you want to hear, but none of us are going to be able to hold your hand on this, since you have the kart, and we don't. You're just going to have to wait until you have the engine and see what will work and what won't.