Alex, you have it all backwards. In that case the prince would have no authority. Since all authority is given by God, authority cannot be evil; what is evil, according to +Paul, is disobeying any authority. Otherwise, we would admit that the devil has authority and that he is competing with God.
Recall, for example, that Sts Peter and John refused to obey the Sanhedrin (Acts 4).
+Paul was preaching his gospel, remember? What does that have to do with +Peter and +John?
Right. That is what I am saying. Such prince would be an usurper without authority. Such is our government and its Row v. Wade regime.