Well, assuming that a Confederate victory results in a binding peace treaty between the United States and Confederate States, than the constitutionality of secession is implicitly recognized. Perhaps the United States would push to ban future attempts at secession, but now that would require a constitutional amendment.
I do think that the Confederacy will certainly balkanize a bit. The moment oil is discovered in Texas, the Lone Star State will happily wave goodbye. Louisiana, Arkansas and the Indian Territory (if it is part of the Confederacy) might be tempted to go along with it.
Utah has a clearly distinct identity, a culture of wanting to be left alone, and a legacy of intense distrust of the United States government, so there is certainly a motive for secession there.
There were some discussions for the creation of a Pacific Republic during the secession crisis, mostly by Southern or pro-Southern settlers. But while they were more than the ramblings of a few silly individuals, they were not a large enough portion of the population to get any serious traction. As the years pass after the war, though, there's no telling how political and social events would transpire. And if the Mormons do secede to form a separate nation, it might create a psychological and perhaps actual barrier between the Pacific coast and the rest of the United States, which could encourage the growth of a separate identity.
On a side note, this CS Victory tread has been up for more than seven hours and TFSmith hasn't shown up with his infographic yet. What's going on?