In addition to the norm, 'The Civil War', maybe the term 'War of Southern Aggression' would be historically appropriate, considering which side really started the American Civil War.
Why play their games? Call it what it was, and what it was know as until early in the last century. The War of Southern Rebellion.
Well, if you want to get into that aspect of it can I call it "The War of White Southern Rich Men Wanting to Leave the Party Early (Regardless of What Everybody Else in the Region Might Have Liked) but Some of the People Who Started the Party Said NO! You Can't Leave Yet Because We Don't Want You To and We're Willing to Go to War Over It."?
And then a Southerner fired the first shot. There, is that better?
I strongly prefer "the War of Southern Treason" for succinctness and accuracy.
That, as you well know is a matter of opinion. Who invaded Southern Soil? The South didn't invade the North until much later.