Maybe I'm mistaken or confused here, but in that specific case you could just give any random 9-digit sequence and it would suffice? A non-SSN voter ID would work just as well for a key.
Are people threatening others based on their votes these days?
EDIT: /u/ninjanomnom brought up a good point regarding heads-of-households, which I hadn't thought of before. I suppose some sort of method would be necessary to obfuscate your vote in some situations.