To try and prevent the rotation, I picked a disc for each end that
would rotate opposite of the disc at the other end (hopefully more or
less
preventing or reducing the rotation), if I had put a third disc on the
shaft
it would make it two in one direction and only one in the opposite
direction.

Ed, Can you explain the "rotation" of the discs please?  Do they have vanes,
or some other feature that would cause them to want to rotate?  Have you
posted any pics of your washer muffler?

Thanks,
Mark S.