This seems to be an endless source of questions, the 11 different flywheels and ignitions Stihl used on the 064/066/MS-660.
Scott, if you have the 1122 400 1204 flywheel, it is only compatible with the 1122 400 1303 coil, which is the rev-limiter.
If the mounts don't line up, then you are correct, you need the dog-leg coil, which is part number 1122 400 1300. It is not the same coil as 0000 400 1300, because the mounts are different. The flywheels compatible with the 1122 400 1300 coil are 1122 400 1201 and 1122 400 1203 (use slot 'P'). There is an arctic flywheel that is compatible, 1122 400 1207, but those are rare.
The flywheels compatible with the 1122 400 1300 coil are also compatible with the 0000 400 1300 coil, but again, the mounts are different. Some replacement case halves had both sets of mounts so you could use any of the coils available for the 064.
I think I have an extra 1201 flywheel if you need it, and then you could fine the dog-leg coil.