I pretty much agree with your description of the NT and OT views on civil govt.
John 18:36 comes to mind rather quicly too.
Jesus answered, “My kingdom is not of this world. If My kingdom were of this world, then My servants would be fighting so that I would not be handed over to the Jews; but as it is, My kingdom is not of this realm. (NASB)
I find it interesting that many Biblical condemnations of homosexual behavior are embedded in lists of other sins that we often don’t denounce with such enthusiasm.
Generally right in the middle of the list, implying that the sinfulness is of a caliber with the other sins listed, not more or less.