Its more a kludge to bring about marxism. Since the marxists realized after WWII they couldn't use the same tactics they used in China and Russia.
Specifically after the 70s when it became blatantly obvious Marxism doesn't work in the real world, it splintered into two groups, because if you have lifelong academics who suddenly discovered their lifelong work that promised them a paradise where the proles would have to work to feed them for free forever they aren't going to just give up and find a fucking job
They took over Post-Modernism from academia, which is your "feels" and "power" bullshit. "Umbaktu FEELS that the sun is really the god Umbaktu'tu's left ballock glowing in pain after he sat on it, and aren't his FEELINGS as valid as your FACTS, Mr. WHITE MALE Scientist?" + "If I have the power to make you not speak my speech is obviously more correct than yours." That was your "Marxism as an article of faith/religion." They FEEL it should work, so it SHOULD, and if they get POWER, it WILL, surely, this time.
The other half is the Frankfurt School, or Cultural Marxism, which the left loses their shit if you even suggest ever exists. "An antisemetic conspiracy theory." That's your "Marxism doesn't work with economics but what if we applied it to every other minority vs majority fight in the universe?" bullshit. Marxism as a magic cure all for every societal ill, even if -- especially if -- they can cause the ill to apply the marxism to.
Equality is a bit of both, but more heavily towards the Cultural Marxism thing. It's stirring up race or sex discrepancies and claiming the ONLY POSSIBLE REASON there's a discrepancy is that the majority (Satan in all forms of Marxism, until the party wins and True Communism is achieved and then oppression is a good and just thing) is oppressing the oppressed (the saintly victims, the nebulous Jesus figure of Marxism).
And using Post-Modernist word games they switch to Equity and hope you don't notice the game -- as Equity is equality of outcome not equality of opportunity. Which means it doesn't matter if you give every opportunity imaginable to blacks and women, if they don't achieve parity (or, in reality, since these are racists and sexists who hate the approved target -- white men -- they must do BETTER, especially if cushy easy high paying do nothing jobs are on the line) then something has gone wrong and must be corrected.