If someone illegally used your SSN, all the benefits should go to you, not to them. This is one reason everyone should check with the Social Security boobocracy
regularly to make sure no other employer has been listed than those that you have worked for.
"How on earth will they match contributions to the illegals when they never had valid SS numbers in the first place. If someone randomly picked my SS# to work under does that mean they get all my benefits instead of me?"
Well, since virtually every illegal alien who paid into the system was using someone else's (or made up) number, how do they plan to sort that out? Will benefits for a given number be given to the first to file a claim? Or perhaps preference will go to the first Mexican who files a claim for a particular number.
Why would I want to do that? If their benefits go to me, then I should encourage more to use my number (078-05-1120, go ahead use it!), not less.