Except for service and overseas voters, only persons registered to vote shall be permitted to vote:
(1) At any election held for the purpose of electing persons to public office;
(2) At any recall election of a public officer;
(3) At any election held for the submission of a measure to any voting constituency;
(4) At any primary election.
This section does not apply to elections where being registered to vote is not a prerequisite to voting.