The official US War records call it the war of the rebellion which to me is the most accurate term. They were rebelling against the duly elected government of the United States of America.
The real truth is the Northeast saw that European money departing from their control, and launched an invasion to stop the South from trading in peace with Europe, and thereby threatening money they believed to be theirs.
"War of Robber Baron greed" is as apt as anything else.