If you believe more democratic outcomes lead to class warfare than I guess as alternative solutions to class conflict you can take your choice of the total victory of the oligarchy (Russia), which does effectively end the conflict, or the total suppression of all social dissent (China).
Or another way to put it is that if more democracy is something that will lead to more class warfare, then class distinction has already grown to such a toxic level in your society that you must face that there is no longer any way back to greater social equity without breaking some (nest) eggs.