Ignition Issues - Car Won't Start Intermittently

I've investigated the linkage and that all seems to be really solid. There was no adjustment that I could make, everything appeared really tight.

It appears as though the problem is then located either in the wiring from the starter relay to the neutral safety switch or the neutral safety switch itself. I find it hard to believe there is linkage damage within the transmission as once I jumped the starter relay the car starts beautifully..

There IS an adjustment on the external linkage

You need to download the free 72 factory manual, this thread here:

http://www.forabodiesonly.com/mopar/showthread.php?t=244981

The key to figuring out whether the linkage is out of adjustment or a bad switch is to hook everything up as "normal" and attempt to start the car

Wiggle the shifter from park through neutral and back while holding the key over into "start." If the starter clicks and tries to pull in, or does so, you either have a bad switch, or linkage out of adjustment.

If you get nada, most likely bad switch or wiring / connection break from switch up to the relay.

You can get the switch connector, if needed, at NAPA along with the switch. Replacing the switch is a little messy, but you can help by jacking the car up with driver side high, or even driving that side up on a curb, etc

Someone mentioned the other day, immediately before you pull out the old switch, start the car IN NEUTRAL (not park) and run for a minute. The hydraulic circuits in the trans cause it to pump out the pan and fill the converter in neutral, lowering the level.

(That's why it's important to check fluid level in neutral)