Referring to, "I am sure the hot wire on the HEI goes to the ignition module."
Everything I've read says bypass the module--
Run straight twelve volts from Ign. sw. power to the HEI.
On mine (82 CJ5, 258 w/ HEI), I cut the incoming power wire to the module, then extended it and ran it to the distributor.
(I also eliminated all the computer wiring, etc.--most wires/sensors did nothing and had been unhooked by previous owners).
This link may help with the HEI setup: