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It seems many of you are making this way more complicated than it is. The only thing that is needed is one resistor from the brake lamp circuit to ground. Period. No bad side effects. The only question is the optimum value of that resistor. I have had a full LED brake light conversion on my to-do list for a while, esp since the cabrio central brake light is a pita. I will try to prioritize this, and come back with a verified solution soon.
(Back to the nit picking dept: It is the cold resistance that applies. When the lamp is lit, the circuit will have 12V anyway since the brake pedal switch is closed. The issue is when the switch is open, and the lamp is no longer lit. The voltage sensed should be fairly close to zero for the cruise control to sense a "brake not engaged" situation. Within the cruise control module, there is a pull-up resistor to 12V. A regular filament will pull the circuit to ground, but the LEDs will not.)
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