This is related to the level of the court and the public security bureau, and it is impossible to answer directly. For example, whether it is a county court or a public security bureau. The vice president is the section chief, and the battalion chief can also be the section chief. However, the vice president is a real position at the official level, and the battalion chief is only a virtual position, that is, the position is not a formal subject, but the personal level is a formal subject. So the position of vice president is higher.
However, if the vice president at the grass-roots level is compared with the battalion chief of a prefecture-level city, it should be the position of the battalion chief. So we can't just say who is older. It depends.