I agree - unfortunately there is enormously vocal, though predictable, pressure from elements of the opposite extreme to throw the baby out with the bathwater. (I say "extreme", but both extremes seem to account for quite a large share of expressions...)
Honest question: what is the 'baby' in this metaphor? What in your view is the redeeming quality of cancel culture? The idea that certain beliefs are beyond the pale and shouldn't be discussed? How do you get people to agree with you that there should be prohibited beliefs without actually discussing them openly? Presumably we can agree that creating a climate of fear is bad (and that it only drives those views underground where they proliferate unchecked)?