As far as I know, you can't. I don't have any of the expansion packs but in the regular game at least there is no civil war. And if i remember correctly, you could do that in civ 1 but not civ 2? civ 2 had the guerillas that would appear later in the game when you captured cities, but....no civil war that i recall.
and yeah, wrong board. but i tried to help anyway