The Department of Justice shall automate the criminal histories of all persons treated in the Forensic Conditional Release Program, as well as all persons committed as not guilty by reason of insanity pursuant to Section 1026, incompetent to stand trial pursuant to Section 1370 or 1370.2, any person currently under commitment as a mentally disordered sex offender, and persons treated pursuant to Section 1364 or 2684 or Article 4 (commencing with Section 2960) of Chapter 7 of Title 1 of Part 3.