The rich won the class war by depriving the middle and lower classes of education: history, civics, political education, and training in how to think critically. As a result, their mouthpieces can spout nonsense and the relatively uneducated voters now swallow it clean.
The antidote, until we get a real education system back again, is for those of use whose eyes are open to educate those around us who cannot see what is going on.
We need to develop simple, factually accurate materials we can hand out to people (or point them to on the web); simple, factually accurate arguments that show the folly of voting tax breaks for the rich etc etc rather than services and benefits for the average family; and so forth.
All that’s required for the rich to win the class war is for the middle and lower classes to do nothing.