Won't start one day and fires up first crank next day

You have something AFU here. "technically" that has the correct side of the ballast going to the coil but you are confusing you AND us because it doesn't follow factory. Review the diagram and reverse the ballast PHYSICALLY so you can wire it per diagram.

View attachment 1715944466
You have the correct side of the resistor going to the box, but you have a whole bunch of crap on top left that is evidently hooked to the coil. The two on the right should go to the "run" wire from the key.

So fix it so it matches the diagram and then we can get more serious. Physically re-mount the ballast "other end to" and hook the two jumpered terminals to the end opposite the "U" cutout. Then connect the green box wire to the new top left, and then troubleshoot "what all" is hooked to all those reds. They hook to bottom left. THE ONLY things that should be there is a radio suppression cap, the coil +, the wire from IGN2 from the key.
View attachment 1715944467
View attachment 1715945460
image000000 (12).jpg
Here is my wiring for 69 Dart, all the colors match my wiring except at ballast since originally it had a single ballast resister. I did reverse the ballast as you and many others suggested but same results. Are you and others saying the resistance changes when the wires are reversed? Not on any resister I know of or it wouldn't be a resistor, correct?

Let's talk about the last line of you statement above. The brn wire in my pic is ign2 from key switch, the org and only org goes to the coil. The red is carb choke and can be hooked elsewhere but is sharing the output from the resistor currently. Help me understand how I am wrong.

The my mopar pic doesn't show ign2 hooked direct to resistor and then to coil without going thru resistor.

Please anyone jump back in. thx