You can’t “intersect” concepts without understanding the concepts that you are going to “intersect”. If you take race, gender, and class as but three such concepts, an intersectional analysis requires a complex understanding of all three, of the interplay between them and then some theoretical and methodological integration of those. It is the rare scholar who can do all of these things consistently well simultaneously, particularly giving each equal weight in the analysis as a determining variable. In most cases what the West calls intersectionality devolves in practice to a monologue in which there is a primary determining variable and the intersection is not of autonomous contributories to the phenomena under examination. but the intersection of some other categories to the chosen primary variable.
