Start by unhooking those two wires, identify the one going to the starter and try hooking it back up. I have no idea what has transpired with "extra" ignition switches.
Forgot to put all that in but it's a 72 dart swinger. Has a 318 with a 904 trans. The one going to starter is the green wire. As well as one of the black wires going to the tiny terminal on the starter.
I disconnected one of the wires where you say it should only be one wire, but now the key does not work. I believe that's the ignition wire. And then I removed the yellow wire that's a simple pull off on the very bottom of the relay and it is not doing that anymore. What does them at yellow wire control? Or where does it come from?
