What?
Religion operated at all levels of society, from the the household to the state. The main idea was to propitiate various supernatural forces with the relevant offerings and festivals. The State funded and oversaw various temples, cults, and religious officials to this end.
Roman religion did not however have a long list of prohibitions like the Hebraic. It was concerned more with ritual than with morality. There was a broad sense of religious freedom as long the established socio-political scheme was not challenged.
Did Roman politicians cynically use religion at times for political ends? Sure. One example: All the warlords of the Late Republic claimed a relationship with Venus, the divine ancestress of the Roman people. But as long as one was not actively challenging the State gods, Roman religion made a poor tool of oppression and control as it did not really demand anything except certain offerings to certain deities on certain days.
Christianity changed the tone of Roman state religion considerably, but I'm not quite the expert on that area. From what I have read though the establishment was still more interested in lip service than in micromanaging the lives of its people. It was the crazy footsoldiers of Christianity, more than the Caesars, that were interested in complete subordination to the new scheme.