I doubt if offsetting the motor a bit to one side would have much significant effect on the bike's handling , provided that the engine sprocket and the rear wheel sprocket are well aligned.
Such an arrangement, however, might result in a lateral imbalance that could make the bike lean slightly away from the side to which the motor is offset. To correct this, you could add some mass to the drive chain side: eg. a 2-into1 exhaust with slinkier on the drive side; a front rotor and caliper on the drive side, etc. The offset motor might look a bit odd, but at least it would be a conversation piece and any lateral imbalance could be evened up.