Andrew, as for the piece of,wood,between the,belly and,handle,wood.
Don't see any problem. This slat should be longer than the handle piece and will end up tapered and part of the handle.
Wait and see what others say about the gorilla glue . I have not used it. Since it's all made of wood any good wood glue should work .
Be sure to,exercise it a lot once you get to floor tiller and beyond .
Ron