I am really flattered that somebody who is able to create real watches from the billet cares to ask about my converted scrap 
The motors are both original. I am afraid my English was too poor to express it correctly: From what I found out by experimenting the disk turning motor seems to feature two coils that can be powerd up separately and in both directions each. So they can take on four different configurations with one coil powered up. They seem to be combined with three permanent magnets which are distributed evenly around the rim of the motor.
So if you power the coil up one after the other in the correct order and direction, the motor moves in 30 degree steps. Perfect for a clock. I misled you when I wrote about "locking" positions when it was about the turning motor.
The motor moved into these 12 positions when powered up while a stepper motor does so when powered down. Sorry for the confusion 
Btw: Moving the disks (stack of two, I did not want to remove the lower to preserve the original look) turned out to be tricky. Just power the correct coil up and wait turned out to accelerate the disk stack too much. It did not stop when the magnet reached its closest position to the coil but just run accross that point due to its inertia. The solution was to power up the correct coil for some hundred milliseconds to accelerate the disk stack, let the stack turn freely for some fractions of a second and then - just when the disks had turned by 30 degrees and the magnet had reached the coil - power the coil up again to prevent the magnet from moving past.
Mainly due to this energy consuming process a set of batteries does not last longer than about four months.
Thank you for looking and asking, Don!
Best,
Martin