I agree with the premise that SSII audits are useless, but your solution sounds like bandaid on a cancer. The real solution solution is stop this surveillance machine madness!
I understand that identity is required for property deeds and bank accounts for tax reasons and that should 100% not be online. But for the rest, it should be entirely outlawed to collect personal information beyond what's necessary for the service, including for government agencies.
Make healthcare (really) free => no social security database to hack. Give me back humans in offices for taxes and drivers licences => no ANTS database to hack. etc.
Er? social security covers more than just healthcare and the issue with on-line data in context of healthcare is patients' history, which i) is sensitive and ii) needs to be shared among health care providers.