Here is the run through of what it doing again.
The car will sometimes start and run just fine. When it runs I have 12 volts heading into the coil and 6 volts heading to the distributor. The car can will be running just fine and then I will shut it off. 30 seconds, 5 minutes, etc later and it won't start at all. I still have 12 volts heading into the coil and 12 coming out heading to the distributor for starting purposes like it's supposed to. It will drop back down to 6 volts like it's supposed to as well. Sometimes though you can come back to it 5 minutes after you shut it off and it will turn right back on. Sometimes it'll run for about a week with no problems and then it just dies. When it dies it just turns over and over and over. During this time all the voltages still check out.
Now I have replaced the coil, starter solenoid, ignition switch, distributor, and the eliminator module (Note the old module still functions just fine as far as I can tell as I have had it back in too and the car does the same thing). I have tried heading back to points and it does the exact same thing. I have checked all the wire connections and everything checks out. I have tried bypassing the tach and the car does the same thing.
On a side note. I was going to install the resistance wire tonight. The only problem is that the the old resistance wire is tied into a 4 way hard plug while this new one is not meant for that type of connection. It's just a female connection on both ends. So I have not installed the new wire, but at the same time everything checks out with this old wire as far as I can tell. So I'm not going to replace it quite yet, and even then I don't see how you attach it since the terminal ends are different.
Thank you for all the help.