The department may undertake a study and report its findings of that study to the Legislature on or before January 1, 2013, regarding the overall effectiveness of the use of ignition interlock devices (IID) to reduce the recidivism rate of first-time violators of Section 23152 or 23153. If the department exercises this authority, the study shall focus on those drivers who actually have an IID installed in their vehicles rather than on those who are subject to a judicial order to have an IID installed.