The Anti Theft or Burglar switch is covered in my March '68 to March '69 Plus 2 Federal wiring diagram. This particular diagram is not done in the traditional schematic format, so can be a bit difficult to read.
Basically the switch in the run position connects the coil hot wire to keep it continuous from the ignition switch to the hot side of the coil. This is the wire pair that should be connected together at the glove box switch location. In the stock Federal Plus 2 this is shown as a Red / Green, although pretty sure during my rewire I used the more conventional White / Yellow or White / Blue included in my aftermarket loom. This coil wire may run through the sensing loop for the tach and connect to the voltage stabilizer for the fuel gauge.
The other poles of the switch are for ground (Black) and the horn relay trigger to ground (Purple / Black). Not exactly sure how it works electrically, but the idea is the coil will not see power to allow the car to start and the horn will sound if you try. Anyway, I assume these two wires can be taped off.
The Plus 2 S component connection diagram makes reference to White and White / Yellow wires for the coil (bind these two together) and a single Purple / Yellow that runs the horn compressor directly without the relay (tape this one off). I assume this version of the switch disconnects the ignition switch to coil wire and connects the horn compressor to the coil positive terminal, so any voltage at the coil primary will sound the horn.
Yours may be different than the Plus 2, but hopefully some clues.
HTH
Stu