Of course they did demand 100% abject surrender: of the United States as it existed in 1860, of all Federal properties within reach of secessionists, of such Border Union states as refused to vote for secession (i.e., Missouri), and of any Constitutional process implying "mutual consent" for secession.
Such demands were rejected by both outgoing President Buchanan and incoming President Lincoln.
The CSA was a separatist movement not a conquering nation hell bent on subduing the USA. What a crock. You are really twisted.