Just look at chapter 2! This is how you are supposed to teach math properly (as opposed to a rote exercise), independently of whether you have social justice beliefs.
And if the problem is about some vague "different way of thinking", this is also addressed by good teachers: one student has an aptitude to solve something with an algebraic proof, another one has an aptitude with geometric proofs, etc. A good teacher will use this as a moment to explore the other ways of thinking, which are deeply important for good mathematicians.
EDIT: You added a definition of white supremacy and a bunch of correlating terms. Sure, that definition seems fine, but I do not see how it relates to the conversation.
EDIT 2: If you are hung up on words like "objectivity" being listed among the "naughty words", consider what the author actually means by that word. Is an all-white jury really an objective jury of your peers when you are black. Or if you want to torture the metaphor and talk about math: Cantor's obsessions at the end of his life and Goedel's incompleteness theorem would be a great starting point for an essay on the limits of objectivity in math.