Well, seems to me in my limited reading and exposure on that subject, they basically go by two names in a lot of cases (e.g., Manassas/Bull Run.) Hell, even the war itself goes by various names. Second American Revolution, Civil War, War between the States, War of Northern Agression, War about States' Rights and Not Slavery Which Would Have Died On Its Own (that last one is thought to be a bit wordy.)
But I'll say this. Whatever one thinks of that war, it was Americans fighting Americans. And so special considerations apply.
So were the "Indians"..........They are in the Constitution....
Well, guess what? The Indian Wars were also fought between Americans... so, special considerations apply.