If I introduced a second armature that same as the first, would I achieve 12v at a lower RPM?
It should do. It depends on the phasing of the magnets on the rotor. You should measure the voltage from both windings, and then the voltage with them in series. Also swap the connections on one of the winding and see what the series voltage.
If you are lucky, you will get twice the voltage with two in series, and nearly nothing with the two in series when one is reversed.
What is it that you want to run from the motorcycle alternator? On alternators like that, the current is limited by the inductance of the windings. As the speed increases, so does the voltage. When you take current, the inductance of the windings will reduce the voltage. The effect of the inductance (the impedance) is proportional to the frequency, which is proportional to the speed. The overall effect is that as the speed increases the current never increases past a level that is set by the rotor magnets and the windings. The current is not much affected by the voltage at high engine speeds.
I changed a motorcycle from 6 V to 12 V without changing the windings. It was a Honda CG125 built in around 1982. It had a 6 V system, where the headlight and tail light totalled about 30W, so 5 A at 6 V. There was a ballast resistor that was put in circuit when only the sidelight was on at the front, which was to stop the sidelight and tail light burning out, which would happen if the full 5 A supplied to a sidelight and a tail light.
To get a 60 W 12 V head light to work reasonably well with the existing generator I had to do very little. Basically I just connected the headlight to the alternator. The headlight was the same current as the original. The lamp was a bit dim at low engine revs, but it was a 125 that did 8000 rpm at 60 mph and I found that there was a small lighting improvement at 30 mph by changing down from top (5th) to 4th so the revs went up a bit.