I guess that makes your stance a little clearer, but I still disagree. (First of all, Article VI only has one section but it does have 3 paragraphs).
Anyway, regarding your perspective, I don't think the Constitution says anything about States leaving the Union. That means that a State official could support secession without violating his/her oath (in my opinion).
It’s a hard argument that dissolving the Union is consistent with upholding the Constitution that establishes it.