To be honest, I was a bit disappointed with this puzzle. It's way, way easier than it looks. I thought it might be a challenge, but it's super easy.
Identify the peices of the puzzle that are equivilent to the Fisher cube, then just solve those parts as you would a Fisher Cube.
At this point, you need only assemble the "wheel"-parts of the puzzle. This can be done with trivial conjugates and commutators that permute peices across the wheels.
Solve the edge-parts of the wheels using conjugates. This is super easy, because you can ignore the scrambling of the corner-parts of the wheels as you do it.
Solve the corner-parts of the wheels using commutators. This is very similar to permuting center peices of a 4x4x4 (or higher dimensional cube), except that orientation must be respected. You can't get a peice in the right place with the wrong orientation, so never worry about that.