cool idea a belt clutch,
that all looks very nice indeed.
It should be mounted the other way around
- small rotor on PTO, large rotor on jackshaft -
otherwise you will have (eyballing) three times the rpm on the small rotor, and a hard job of gearing that down on the actual kart.
Still: I don't think that is the right material for this.
Wood is dissipating heat at a very low rate, wich makes it a good heat insulator, but in this case that is not a wanted feature

especially not with this exact setup (large on pto) since the small rotor is turning really fast and will build up a huge amount of heat.
Anyways, good idea, turn it around and give it a try (not without making sand molds before) that way you can cast it in aluminum afterwards
'sid