ah, i thought your clutches were electronically controlled as well, after reading closer it seems they are centripetal clutches which engage at different rpms, sounds like a very neat idea. There are a few possible issues i can see with applying it to an electric bike:
Space and weight, extra chains, clutches, gears, gearbox & oil will take up space and add weight, so you will probably have to cut down on a battery or two, decreasing the range.
Efficiency, extra chains, gears etc will create a significant amount of drag i would imagine, furthur decreasing the range.
And automatic shifting may not be a very good idea on a bike, when the centripetal clutch engages the motor will have to decrease speed rapidly, which may jolt the rear wheel a bit, and also greatly reduce the available torque, if it happens when powering out of a corner the bike could tip in and startle the rider.....
Also just though of another thing, when the motor and jackshaft A get to clutch engaging rpm, the gear ratios will change, jackshaft B and the wheel speed wont, so jackshaft a will greatly decrease its speed, below the clutch engaging speed, so a standard centripetal clutch wouldnt work there, it would just burn out rapidly. You could use some sort of locking centripetal clutch, but then would run into problems with downshifting.
Hopefully ive understood you design right, if not disregard most of my comments!