RE: JB Weld really stronger than epoxy?
Wood to carbon - either CA or epoxy. Both work very well with carbon. It will depend somewhat on the application, i.e., cloth or bonded sheets, rods, tubes, etc. For any wetting type application you will want thin CA or a laminating/finishing epoxy. You can also use esters and urethanes, but these are not as common on the glue shelf of the typical builder, and epoxy is probably better anyway for applications where the ester or urethane would have worked.