До 1 апреля 1997 года таки ничего не могли сделать. Но Клинтон подписал Illegal Immigration Reform and Immigrant Responsibility Act of 1996, который без всякого изменения Конституции (которая молчит на эту тему) ввёл наказание за такое голосование:
"§ 611. Voting by aliens "(a) It shall be unlawful for any alien to vote in any election held solely or in part for the purpose of electing a candidate for the office of President, Vice President, Presidential elector, Member of the Senate, Member of the House of Representatives, Delegate from the District of Columbia, or Resident Commissioner...
И отдельное наказание за Whoever knowingly makes any false statement or claim that he is a citizen of the United States in order to register to vote or to vote in any Federal, State, or local election...
no subject
Date: 2019-09-27 02:53 am (UTC)"§ 611. Voting by aliens "(a) It shall be unlawful for any alien to vote in any election held solely or in part for the purpose of electing a candidate for the office of President, Vice President, Presidential elector, Member of the Senate, Member of the House of Representatives, Delegate from the District of Columbia, or Resident Commissioner...
И отдельное наказание за Whoever knowingly makes any false statement or claim that he is a citizen of the United States in order to register to vote or to vote in any Federal, State, or local election...