The 6000 and the T20 use the same model driven clutches, but the Baker/Hill is a 1" shaft and the T20 is 7/8". If you can find a 1" clutch the right width, it should replace the older speed-sensative unit without too much trouble.
I don't think your problem is because of the clutch being used on the wrong transmission, but maybe a worn-out clutch or the wrong belt. I think Larry has a "how-to" article on this site for taking apart the 7000, and the 6000 is going to be almost the same down to the driven clutch.
Stuck in the seventies- not in the swamp.
(6) Attex, a Hustler, a Super Swamp Fox, (2) Tricarts, (3) Tri-sports, a Sno-co trike, 3 Dunecycles, and a Starcraft! ...so far