Why would the American Civil War not be an example of civil disobedience?

What defines civil disobedience is that:

it is peaceful, it does not resort to force but to protest, it is an civilian movement.

These two features distinguish it from wars in that wars are:

not fought by the civil society but by armed forces (usually the military, but not always, it can be independent guerillas or paramilitary groups), the opposite of peaceful. In the case of the American Civil War, it was even extremely violent, resulting in between 600,000 and 1,000,000 casualties.