I'm not sure about the pins you've labeled on the CK9x circuit board. This is a loooong time ago for me.
However, I *think* miniXLR should be wired differently. The way I've seen AT853 and family, it is:
pin1: shield
pin2: audio
pin3: battery +
If you look inside the AT853 power modules they usually have a load resistor (5.1k or something?) between audio and ground, and then take the signal off pin 2. The voltage is something like 5-9V.
If you have a choice, I would follow the AT853 convention for any three wire mic.
However, it is probably simpler to put a load resistor between pin 2 and 1 *inside* the ck9x capsule, and then just put a two wire connection on the output and use a standard "two wire" battery box. The trick is the value of this load resistor. I'm guessing something like 10-15k might be more appropriate. Notice that the recommended value in the circuit I posted (from AKG directly) is 13.3k. So, you're doing something like the standard 4.7k mod, except using a 13.3k resistor in this case.
Richard