There is a whole Smorgasbord of industrial, military, and aircraft adhesives out there. Many of them will make a bond that will outlast the rest of the pulley or at lest until you find a replacement.
I'd start by Googling for them. If all else fails, unless you are racing, JB Weld would probably hold up on a Healey.
If you choose that route, be sure to clean using a non-petroleum based solvent (e.g.acetone, freon, trichloroethane, etc.).
Tim