Just to be sure, is the C4 the type that mounts the neutral safety switch to the side of the case, where the shift shaft comes out? I think some early cars had a different setup, but Broncos always had theirs on the side of the transmission body.
The half of the harness that is connected to the switch is actually part of the switch and comes with a new one. If you have an old switch where the wires are missing, you'll need a new one, or create your own.
Next, the '67 would not have come with anything like that for the body side of the harness since the automatic was not available until '73 model year. After that the harness was integrated whether you had the manual or automatic. But before that, like in your case, you'll have to create your own. No existing harness exists that you can buy off the shelf, that I'm aware of.
Any replacement harness for the vehicle, which are finally becoming available, would not include the proper connections because too many changes were made between '71 and later models to fit your existing harness.
You'll need to run extension wires from your existing backup lamp switch wires (Black with a red stripe I think) mounted on the lower end of the steering column (visible just below the brake master cylinder) over to the wires of the same color on the new neutral safety switch. Does not matter which goes to which, as long as they're the same colors.
With that simple extension your backup lamps should work.
For the actual "neutral safety" aspect of the switch, you'll need to find your Red w/blue wire coming out of the firewall, cut it long enough to reach the switch wires of the same color (or add an extension) and make an extension for the other half of that wire to the other wire of the same color (Red w/blue) on the neutral safety switch.
One half of that wire comes from the ignition switch and the other half goes to the starter relay/solenoid. By cutting this wire and connecting it through the new NSS you have given yourself the safety of not starting in gear.
The NSS will have it's own 4-wire connector on the end. Since you don't have one on your body side wiring, you might as well cut it off of the switch wiring and make your own connector. I use GM Weatherpack connectors available at most parts stores, but you can use anything you want.
The original connector resembles a 4-wire universal (trailer) wiring plug (not the Flat-4 you see on the bumper) that is available through many sources. I think those are keyed wrong for the Ford version, but you could still use one of those if you don't want to go with Weatherpacks.
Hope that helps.
Paul