What I'm not seeing is the results of the test CONFIRMING there is +12 volts on BOTH sides of the brake on/off switch (BOO) with the brake pedal depressed. Use a KNOWN good ground.
What to do next depends upon this test result. Anything else is just guessing.
If interested in getting a copy of the Ford service manual with wiring diagrams I maybe able to help. PM if interested.
Power in to switch, no power coming out with switch activated, I'd say its the switch, someone mentioned touching the wires together see if lights worked, try that?