Reading through the posts it seems that the Republicans/libertarians/conservatives/... aren't so much confused about CRT as they are afraid of any discussion of racism in the public schools.
That sounds like a pretty fair statement but not for your reasons. Most of the Republicans/libertarians/conservatives I know actually do agree with the founding principles of Martin Luther King. Admission of a human condition that is imperfect, the desire is to strive for a color blind society where no one cares about skin color. But liberals don't really want this. Liberals want to destroy progress thus far and rub the cats fur backwards getting everyone mad as hell at each other. And CRT is really the perfect instrument for them to rub the cat's fur backward. Such a polarizing term in the first place, they can analysis a subject to death.
It is exactly the same thing as when a Brady bunch type family tries to come together to become one family. But instead of the Brady Bunch we saw on tv, the liberals want 1 of the spouses to keep hammering away the fact some of the kids were not produced by the father's sperm. Analyzing and researching the topic to death brings such unpleasant factual history's (that can no longer be changed) the end result preventing a mixed family from ever becoming a harmonious unit.
Republicans want to make lemonade out of lemons and liberals want to research ways to make the lemons taste more sour.