The following positions set forth in this chapter shall be exempt from Chapter 59 of this title:
(1) Secretary of State;
(2) Assistant to the Secretary of State;
(3) Director of Corporations;
(4) State Bank Commissioner;
(5) Director of Division of the Arts;
(6) Director of Libraries;
(7) Chief of Human Relations;
(8) Director of Historical and Cultural Affairs;
(9) State Archivist and Records Administrator;
(10) Executive Director of the Public Employment Relations Board;
(11) Director of Professional Regulation;
(12) Director of the Public Service Commission; and
(13) Public Advocate.