Minibikes and all off-road designed vehicles not authorized by law for use on a highway, including, but not limited to, go-carts, riding lawnmowers, garden tractors, and snowmobiles, shall be exempt from the provisions of sections 60-678, 60-6,351 to 60-6,353, 60-6,380, and 60-6,381 during any public emergency or while being used in parades by regularly organized units of any recognized charitable, social, educational, or community service organization.