That's the point of the "culture war" that is currently manifesting as a war against "wokeness." As long as conservatives are distracted into hating LGBTQ and minorities, the working class will be split and will not have the ability to fight against the people truly responsible for the mess we are in.
The indoctrination works exceeding well, too. I have a relative who voted for Al Gore because of his stance on the environment. Fast-forward to now, and she is posting things on Facebook supporting the overall Republican agenda (Not supporting Trump or DeSantis, but still very conservative.) Basically, a bunch of family stuff including prolonged illness and eventual deaths made her a much more unhappy person, and the right-wing propaganda is designed to pick up people like that and bring them into the machine.