The Left: For the greater good, restrict economic activity & redistribute wealth to promote equality of economic outcomes The Right: For the greater good, restrict sexual activity & impose early, lifelong monogamy to promote equality of mating outcomes Libertarians: Freedom.
While the left has been very keen on imposing its values through law, I don’t think that the right has been advocating for the same for at least a few decades. But maybe that’s just because they‘ve been losing. I can imagine them trying to solve the incel problem in the future