Palin is quoting Isaiah 9:6

For to us a child is born, to us a son is given; and the government shall be upon his shoulder, and his name shall be called Wonderful Counselor, Mighty God, Everlasting Father, Prince of Peace. (English Standard Version)

Also quoted by Handel for Messiah.

If we’re going to dump on her, be sure to focus on the government part, which I am sure she means is the civil government, and not the ecclesiastic one.