Multiple Q4 owner here. As said before, the Q4 uses a completely unique AWD system. The AWD is designed by Steyr - Puch and Alfa, and uses a Viscous coupling, central epicyclic differential and a Torsen LSD at the rear. Further more, the AWD system (Which is called VISCOMATIC) uses parameters from the Motronic, ABS, Steering angle, Throttle and more to decide the torque split between the axles. The Q4's torque split is variable between 0% to 100% on each axle, so it can be totally FWD, or totally RWD depending on road conditions and driver inputs.
The engine block is the same as in the QV. The only difference is the electrical systems.
The gearbox in the Q4 is designed and built by Getrag, and has 6 speeds + Reverse. The Getrag box has an open differential at the front.
The Torsen LSD at the rear works in the same principle as most other Torsen diffs. It is a 3:1 Torsen TBR (Torque Bias Ratio), and puts out torque to the loaded wheel in the corners.
There aren't any relatives which uses the same AWD system, but Mitsubishis AYC system used in the Lancer EVOs is quite similar in both components and principle of work. I have driven some EVOs, and they are in fact similar from a AWD stand point.
On ice and snow, there aren't many cars that can keep up with a 164 Q4. It feels very RWD to drive, but the speed you can drive at is just thrilling. In the summer, the Q4 feels quite overweight. And no wonder, the car weighs 1780kg.
Parts are very hard to find, and expensive. It is a nightmare to keep running. But when everything works, and you sit behind the wheel, there is no car you'd rather drive.