A mounting system and method of mounting an alignment instrument onto a vehicular wheel which is to be used to align the wheels of a vehicle. The mounting system includes a mounting plate which has an engagement structure located directly adjacent the peripheral edge of the plate. At least a pair of the lug nuts of the vehicular wheel are to be removed and replaced with elongated internally threaded sleeves which are substantially longer in length than the lug nuts. A fastener assembly is used to fixedly mount the mounting plate onto these sleeves. The alignment instrument is then to be clamped onto the mounting plate by engaging the engagement structure.