Now, how long is it going to take some lawyer to file a class action lawsuit claiming that all former 'undocumented workers' who paid into SS with a false ID have a right to SS?
Actually, it frequently is lined up with a legit SS account. However, since it was earned under a different name, among other factors, the true SS holder still doesn't have access to that money (so, yeah, the government get is, for now).
If amnesty is given to the illegal immigrants, I would bet that, shortly thereafter, you will see a class action suit for the money in the accounts.
Finally, we ought not forget that there are victims in this too. If a child, whose number is compromised, applies for a scholarship (or other assistance) reserved for those with low incomes they may be denied when the scholarship issuer checks and earnings report and finds that the student has been earning $30,000 since they were two. Even if the issuer is confident that the identity has been stolen, his hands are probably tied and the student will loose the opportunity and have an identity theft mess to clean up.
The same scenario would apply to citizens and their children applying for public assistance and other public/private services reserved for various income levels.
Finally, the $30,000 figure I put up is probably low, since once an ID dealers get a good SS, they tend to sell it to several purchasers (one child had 27 people working off their SS in my state). With even 10 people using the number, $100,000 plus wouldn't be surprising.