Ignition problem in 67 Cuda

Get a wiring diagram.

Free at myMopar.com.

Then start tracing the factory setup and how the wires are connected

It might be a bad ignition switch?
Yup, thats exactly what he is going to do tomorrow. He has one of those nice colored diagrams from Classic Car Wiring, it may have been you that recommended it actually, I got one as well, very nice. Ignition switch is something we were considering if nothing else pans out.