If it's in response to a failure to abide by the supreme law of the land, then there is nothing of any consequence left to reject.
You don't state specifically, but I'm beginning to suspect that you don't grasp the historical fact that the Deep South Slave-Power first declared their secession, in Madison's words, "at pleasure", meaning without any constitutionally valid reasons for doing so.
Indeed, they did not believe that any such reason was really necessary, and clearly expressed their views that the constitutional election of "Black Republican" Lincoln represented a threat to their "peculiar institution".
And that was it -- not some past Federal power usurpation, but rather a perceived possible future threat to slavery.
Bottom line: the secessionists initiated everything, including the war itself without serious constitutional, legal or even ethical justifications.
First, I’d ask what supreme law of the land had actually been violated and what steps the aggrieved parties had attempted to correct this.
Second, If you want to call it a revolution, be my guest. But the usual Lost Cause position is that it was not. Because if you call it a revolution, you can’t complain about the laws you’ve rejected not protecting you anymore. And complaining about how unfair it all was is what you guys do.