Um.
"Unlike traditional civil rights discourse, which stresses incrementalism and step-by-step progress, critical race theory questions the very foundations of the liberal order, including equality theory, legal reasoning, Enlightenment rationalism, and neutral principles of constitutional law." Critical Race Theory: An Introduction, 3rd ed., ; Delgado and Stefancic; 2017 (p. 3).
And what's a critical theory on about?
"It is widely recognized that Marx was a revolutionary figure, but the exact nature of the revolution has not, in general, been correctly understood. [...] Marxism is a radically new kind of theory; to give a proper philosophic account of its salient features requires drastic revisions in traditional views about the nature of knowledge. [...] The general name given to this new type of theory of which Marxism and (Freudian) psychoanalysis are the two main instances is 'critical theory'." The Idea of a Critical Theory; Raymond Geuss; 1981 (p. 1).
I'm not a big fan of conspiracy theories, but when people say their work is neo-Marxist and that their goal is to challenge Western society, maybe we should be kind of inclined to believe them?
It's not really being done in secret though. That part of the "conspiracy" aspect seems off. It's pretty out in the open, if you go and listen in the right places.
You do make some good points (especially but not only about Nietzsche), but I think you've kind of dropped the ball on fact-checking here.
Despite fumbling a bit, overstating a bit, and not having a very comprehensive coverage of critical theorists or their intellectual heirs, Peterson has either wisely divined or accidentally stumbled into a point of view that isn't nearly so outrageous as you try to imply.