Keep in mind that angels are the embodiment of Lawful and Good, so they easily tend to excesses, at mortals' eyes.
Put some chaotic good character in a extremely lawful good society, and suddenly the chaotic part will feel that something must be done to guarantee freedom...
Another note: a character can also be LG, and oppose firmly a LG society, if the two concepts of "lawful" differ too much.
Think to the opposite positions of Iron Man and Cap. America in Civil War.