Racism, as a collectivist pursuit, was anathema to her strictly individualistic Objectivism. To her, all forms of collectivism be they socialism, fascism, or racism were immoral on the basis that collectivism on the national level, ultimately and inevitably leads to authoritarianism and the trampling of individual rights by the government. Racism therefore, would necessitate that same authoritarian brand of government that all other forms of collectivism required in order to sustain itself on a national level.
Heritage Foundation
LR Podcast Episode #48: Critical Race Theory Exposed
As explained in the article, CRT in its ultimate form is anathema to all American conservative thought. The objective of its proponents is nothing less than the complete overthrow of our American way of life in favor of a race-based, fascistic autocracy with unelected leaders at its head.
Liberty Relearned 