I took a look at my Bentley manual for my E36 (don't have an E46 manual - yet). On virtually all years and models of the E36, the parking brake switch is grounded on one side at the parking brake, the wire to the computer or indicator light "floats". When you apply the parking brake, the switch closes and shorts the circuit to ground. This is a pretty typical electrical design - closing a switch that grounds a wire connected to an indicator light or computer module.
I would guess 99.999999% that the E46 is identical. In that case, you can just connect the wire from your video to any good chassis ground and it will enable your video system all the time.