Voter information cards and pamphlets are not the same as ballots, though. If you try to show up to the polls with just the voter information card or pamphlet you cannot vote unless your name is on the rolls. Your name does not get on the rolls without a valid SS number or DL number.
Depends on the state.
Several states are allowing illegal aliens to get drivers licenses now. And thanks to the “Motor Voter” law, they are getting registered as voters, even though they are not U.S. citizens.