RE: Rocking/wobbling/shaking when ICE turns off?
There's no clutch to decouple the two? There are plenty of ways to solve that problem. They could have the engine throttle down briefly before stopping to avoid a harsh cutoff. Or simply adjust the load on the generator at cutoff to damp out the oscillation.
At any rate, this is the sort of thing that should have been accounted for at the design phase. If they didn't, there's a chance it could be fixed in software.