The Confederate constitution tied the states together more loosely than the US one, and arguably the fact that they thought by hanging together they thought they'd be as strong as the US probably helped keep them together, but now that the confederates have figured out that functionally that even with Mexico (I'm sort of slicing the GAW into northern and southern halves) and 50 years to build up forces they can't defeat the US, what's the point? And yes, having a succession crisis will help blow things apart.
Does someone have a list of CSA Presidents handy?
I am the sort of person who keeps track of these things...
Presidents of the COnfederate States of america
1. Jefferson Davis (MS)/Alexander Stephens (GA) 1861-1868
2. Nathan B. Forrest (TN)*/John C. Breckenridge (KY) 1868-1872
3. John C. Breckinridge (KY)/vacant 1872-1874
4. Isham G. Harris (TN)/Jubal Early (VA) 1874-1880
5. James Longstreet (VA)/Augustus H. Garland (AR) 1880-1886
6. Lucius Q.C. Lamar (MS)/Roger Q. Mills (TX) 1886-1892
7. John T. Morgan (AL)/Joseph C.S. Blackburn (KY) 1892-1898
8. Fitzhugh Lee (VA)/William B. Bate (TN) 1898-1904
9. Thomas G. Jones (AL)/James H. Tyler (VA) 1904-1910
10. Joseph F. Johnston (AL)*/Ellison D. Smith (SC) 1910-1913
11. Ellison D. Smith (SC)/vacant 1913-1916
12. James K. Vardaman (MS)*/George Patton (VA) 1916
13. George Patton (VA)**/vacant 1916-1918
14. Thomas S. Martin (VA)*/vacant 1918-1919
*Died in office
**Resigned office
This assumes the amendment is ratified in 1918, and Martin keeps his OTL death date on November, 1919. I have no clue what the succession looks like after that. (Then again, no one in the CSA government probably does, either...)