But the torque applied to both wheels will always be equal in theory, so the spinning only happens because of the 'dynamic friction is often less than static friction' factor. This does mostly solve the problem.
The torque will be equal but will be equal to that of the spinning wheel, which does not help much.
And it's worse than dynamic vs static friction, in cases where you really need it it's likely the wheels are on different surfaces (one in snow, the other on pavement, for example) and then both wheels will have the torque equivalent of being on snow...