If, as I assume, Tim's CK12 copy is constructed like AKG's original CK12 bass version, only ONE wire is needed for the backplate lead-out, as both backplate halves are electrically combined.
That means, you either cut the two thin white wires where they enter the old Nylon capsule (each one goes to one of the to backplate halves), strip the jackets, twist the raw copper wires together and solder both to the same center lead out eyelet of the replacement capsule, or you unsolder both white wires from the circuit board and install a new wire at that juncture to connect to the CK12 replacement eyelet.
I am sure that Tim can provide installation hardware, if needed