The term 'regulate' in the ICC means 'to make normal'. At the time of the ratification, power was given to Congress to make interstate commerce normal instead of exceptional. It took away the power of the states to tax interstate commerce and impose other impediments.
As long as it only affects owner operators that remain in California you are right. However, it is the obligation of the Federal government to strike down state laws that interfere with the flow of goods between states.