That’s because taking a side in the culture war, tactically or otherwise, accepts it as a legitimate fight rather than what it is - a bourgeoisie distraction meant to atomize/divide the working class.
The correct course of action is not to participate but to reframe it in materialist sense. Racism/sexism/transphobia are not some spontaneous personal moral failings but historical tools of capitalist social control used to split workers, super-exploit marginalized groups for increased profit, enforce traditional family structures to secure birthrates for future workers to be exploited.
However, given how mass media constantly reinforces the culture war through the narratives and repetition, how emotionally driven it is by design and how anti-capitalist left that recognizes this fact is but a small minority means you’ll hardly see this kind of analysis in the wild.
Yet both are enemies of the workers, play into opportunism, the vast majority of their policies are dictated by business donors and maintain the system that most of us can agree is killing the planet and people. Any minor concessions (that have already been repealed by the way, wonder how that works /s) might make things a little bit comfortable, but is essentially nothing in comparison.
Stop rallying behind the puppets of capitalists, look past the liberal abstraction to see things for what they really are even if media says otherwise.