You already have something in excess of 12% contributed to social security. If this amount was "yours", rather than a government trust account, I think there would be less objection. Take it out of the hands of government and make it a quasi-corporation. No political involvement.
Looking back, I know I would have felt better about having a plan that I own.
Was there not a time when SS was solvent. Then the Dems. started raiding it and leaving IOU's or some such thing. I may be off on this but if memory serves.