Again, as I explained before you jumped in, trying describing civil war in its most basic form without resorting to convenient historical events.
Every definition of civil war with which I am familiar requires the goal of both sides to be the capture of the government of the entire nation, not an establishment of a separate government.
A war of Independence is not a "civil war" insofar as someone is trying to take over control of the entire nation. What we had in 1861 is more a case of a wife trying to leave an abusive husband, and he then forceably drags her back against her will.