All officers, warrant officers, and enlisted men who after October 1, 1961, are placed on full-time active duty with the office of the Adjutant General, pursuant to Sections 142, 167, 321, 340 and 551 of the Military and Veterans Code, shall become members in the manner and under the same conditions as under this article apply to other state employees. The retirement benefit provisions of the Military and Veterans Code shall not apply to those persons. This section shall not apply to the Adjutant General or the Assistant Adjutant General.