They are not incomparable/incompatible, but each religion will be vastly different in how it engages with socialism. I am what is called a scientific/naturalistic pantheist—which I once had someone sum up as atheism with pagan decor. There is nothing metaphysical in such a worldview, but certainly, there is a different way of looking at the world. You want Heaven? You have to build it. Justice? Again, you have to build it. And rituals are great at communicating with the subconscious—one of the best examples is the “hold your breath for x seconds and then take y gulps of water to get rid of hiccups.” The specifics and values shift based on who you ask, but the folk-idea behind it is widespread and the actions and symbols of the ritual can communicate to ourselves that we want to stop hiccuping. There is the practical safety aspect of taking the time to bow so you can observe the martial art mat, and the ‘spiritual’ aspect of quickly getting your mind in the right state to learn.

I think much of the incompatibility perceived comes from when religion mirrors our present class conditions. “God/s” as kings, rulers, as a grand bourgeoisie essentially. And that’s where the problem can come in because that aspect of more traditional religions is rarely challenged. “God/s” as a grand comrade is a far more interesting concept and one that has more back and forth—there is room to disagree/alter/adapt/learn from/etc with that authority instead of that authority always overwriting the believer’s own instincts (such as on moral issues). I forget where it’s from, but “beware the believer who has never disagreed with their God over anything for their God is an unchallenged mirror.”