I mean I fight a culture war because I need to stop fascists. I fight a class war because I need to stop the rich people that pay for fascism so they can boil us all like soup on a burning planet for five pennies a share.
I don't really see these things as separate. I would fight fascists even if they were broke (many are) and I would fight rich people even if by some miracle they weren't fascists (which is really "fitting a camel through the eye of a needle" kinda shit.)