(a) Whenever, under any law of this state, the license of any person is suspended or revoked by reason of a conviction or a forfeiture of bail, the Office of Driver Services shall suspend the registration of all vehicles registered in the name of the person as owner, except that:
(1) If the owner has previously given or shall immediately give and thereafter maintains proof of financial responsibility for the future with respect to all vehicles registered by the person as the owner, the office shall not suspend the registration unless otherwise required by law; or
(2) If a conviction arose out of the operation, with permission, of a vehicle owned by or leased to the United States, this state, or any political subdivision of this state, or a municipality thereof, the office shall suspend or revoke the license only with respect to the operation of vehicles not so owned or leased and shall not suspend the registration of any vehicle so owned or leased.
(b) The suspension or revocation required in subsection (a) of this section shall remain in effect and the office shall not issue to the person any new or renewal of license or register or reregister in the name of the person as owner any vehicle until permitted under the motor vehicle laws of this state, and not then unless and until the person shall give and thereafter maintain proof of financial responsibility for the future.