Okay, I peeled open my wiring loom to get a look at my wiring and found my wiring diagram. Sorry it took a while, I wanted to give you a complete answer. There's a bit more to it than I thought; I will definitely document the process when I do it to my other Eagle. So here's what I found.
There are two plugs off the ICM: a two wire with white and red (plug 1), and a four wire with green, orange, black, and violet (plug 2). If it's the same on yours, we're off to a good start.
On plug 1, the white goes to green and I think went through one of the CEC connectors before going to the bulkhead, so I just cut it out of that connector.. Not sure what it does, but there was no power there with my test light. The red wire turns to yellow and has key-on power coming from the ignition switch, again through the bulkhead. I may have used a wire originally used to power up the other computer. It might also be that I cut out a splice there to remove other wires. You might be able to leave these wires alone for now.
Plug 2 is where the magic happens. The green wire goes to the dark green wire on the negative terminal on the coil. The orange, black, and violet wires go to the same color wires on the 3-wire distributor plug. Keep that twisted pair twisted.
Also the yellow wire on the positive terminal of the coil now goes straight to the resistor wire (red with green tracer). The resistor wire is there to keep the ICM from burning out by pulling too many amps through the coil. It says 'do not cut or splice,' but I kept it the full original length when I put it to the yellow wire and it seems to work fine.
Attached are a couple wiring diagrams. The first one is the original diagram; the second is an incomplete modified version of my particular Eagle with all the CEC stuff removed and the ICM rewired (mostly). Also note the ballast resistor between yellow and red resistor wire; I put an MSD coil on mine with less resistance than stock and so required yet more resistance to keep the amps to the ICM in check. You wouldn't use that on a stock coil.
I hope this helps you out; if want to know more about simplifying your entire engine bay, I could put together something for you on that as well.