Could be the switch but more likely a wiring problem.
Here's how Mopar ignition works:
In "run" (jumping ahead) you have power from the ign switch normally "dark blue" goes out to the engine bay and supplies the top end of the coil ballast resistor, the alternator field, electric choke if used, and carb idle solenoid if used.
The above is "cold" during cranking
During "crank" (twist the key to "start") there are TWO wires hot
One is the yellow (or yellow/ tracer) comes out the bulkhead and fires the start relay if the neutral safety/ clutch safety is made, and the relay fires the starter
ALSO hot during "crank" is the brown which comes out and hooks to the coil positive, which bypasses the coil resistor.
Have you made any wiring changes to the ignition? MSD, etc?
Take a test lamp and find the brown coming to the coil positive (coil end of the ballast resistor) and see if it's hot when you twist the key. Probably not.
Now go up to the column switch and this should STILL be brown, probe it there and see if it's hot.
If so, probably the bulkhead connector
If it's cold, could be the connector on the ign switch, or the switch itself.