I don't want an SS card, I don't want my offspring to have an SS card, I don't want to use my SS card for anything other than SS.
If they really need proof of citizenship, my birth certificate or passport is enough. Don't make anyone sign up for a federal welfare plan just so they can drive.
No SS card?
Then I assume you don't file a Federal Income tax return, or have a job, as an SS number is required for both. And if you do have offspring and they don't have a SS number you can't take their deductions 'if' and or when you do file a tax return.