Yes, our founding documents recognize the natural right of rebellion. And the Founding Fathers recognized the difference between annoyances and intolerable oppression. The south suffered no intolerable oppression. Although they were perfectly within their prerogative to seek dissolution they had no right to do so unilaterally.
Intolerable oppression is in the eye of the beholder. As I mentioned, the British Loyalists at the time did not find the circumstances to be those of "intolerable oppression." That was pretty much the opinion of that militant 1/3rd of the population that did so.
Although they were perfectly within their prerogative to seek dissolution they had no right to do so unilaterally.
You mean like the colonies did? Why not?