What does it mean to glorify God in regards to the civil government?

Tom Ascol explains in this video that in broad terms, we glorify God by living in accordance with His revealed will and in ways that bring honor to Him. God has given us His law and we glorify when we love Him and do what he commands. 

In regards to civil authority, God has established those individuals in positions in the civil arena. Therefore, we should be respectful to them. However, it is also important to remember that those authorities only have authority because God has given it to them. Their authority is not inherent. Whenever delegated authority defies God, we must obey God rather than man. 

Acts 5:29 (NKJV) - "But Peter and the other apostles answered and said: “We ought to obey God rather than men."