So the next thing would be to identify the wiring, as that was your original question.
This bike has apparently been converted to 12V, so I would expect the coils are likely to be 12V items, can you identify them?
From your original description the system appears to be wired positive earth, so I would expect there to be a Neg wire connected to the distributor from the battery (via an ignition switch?) and a wire to each of the coils if there are double points in that distributor?
If there is a single points set in there, then it could be operating as a 'wasted spark' system with two 6V coils wired in series, both coils producing simultaneous sparks at the plugs for each crankshaft revolution, one of the two sparks being alternately 'wasted'.
If the unidentified unit is a condenser pack then I would expect wires from it to connect to each one of the points wires at some point between the points and the coils?