Pretty tough to diagnose w/o more info, but I'll take a shot.
Unless you are just plain wired into the wrong power supply and getting reduced voltage to the ign system, I would say you have a
Bad or missing ground.
It sounds like your missing a (fairly major) ground somewhere and the system is trying to ground through your ignition.
Especially with a F-glass tub, look at your Jeep as 3 seperate parts, each needs a solid ground.
The Engine/ Trans group.
The Frame
The Body
The glass tub, compounds the problem as all the components in the body need individual grounds as they can't get a ground via a metal body.
If you haven't already done so,
Make sure you have a good, heavy ground from the battery to each of the 3 groups. Even if it means running 3 cables.
One from Batt to Engine/trans.
One from Batt to Frame, and another one from the battery to the junction block(s) on the body you will use to tree off grounds to all the body components.
I am betting once you have good grounds taken care of, your problem will go away.