I mean, that's part of it. The culture war is useful to both US political parties, because they both have a bourgeois class interest and need something to keep people invested in politics for the sake of their political legitimacy, but at the same time need to prevent them from gaining class consciousness or becoming involved in class politics.
Put another way: the culture war (as woke vs. anti-woke) divides the electorate, but in a way that lets them be parceled out between two factions of the ruling class, rather than aligning any of them against the ruling class.
