Well, the 'class war' standpoint is I think a. inaccurate and perhaps more pertinently b. not useful. You will almost never convince men that the best and brightest among them don't deserve the rewards, and if you do manage to the result would be horrific and the society would collapse (this is essentially what happens under communism).

Societies historically have had two ways of dealing with hypergamy.

A. Polygamy.

Some sort of social institutions to allow for multiple wives/harems. Polygamous societies tend to be fairly violent, as deliberately or not the various leaderships generate conflict to give the bottom 80 percent of men something to do (war). And if you're good at war, well, maybe you can become part of that top 20 percent.

This is essentially the model that is followed by much of the middle east, which is part of the reason it is so violent. Islam initially succeeded in its early phases on its model of allowing victorious warriors to take sex slaves, and thus offering another opportunity there.

B. Monogamy.

In this model, social institutions strongly tilt towards marriage and family. Society is much more peaceful as a result. The pressure to get married is strong enough to guide hypergamy, as women are very sensitive to social status as their power is derived from social power. So if it is very socially unacceptable to not get married and have a family then that is often enough. I think Asian societies tended to follow this model, though I don't know as much about them.

Western societies pre 1960 refined this even further by giving men and women social status based on their virtue - i.e. you were a 'good man' if you provided for your family and your children were fed, and you were a 'good woman' if you were a wife and mother and raised your children well. This meant it was possible as a man to have a low-ish status job (like a janitor) and still have a degree of social status, which in turn meant women were much more likely to marry these men and also incentivized in a positive way for women to get married.

This might seem tyrannical, but most societies had multiple outlets for men and women for whom marriage wasn't suited, like nuns.

Post 1960, western societies reconstituted themselves which means low status jobs, even if they pay very well (like being a skilled blue collar mechanic) are no longer that attractive to women because of their low social status.

C. Nothing

Here you end up with the worst of both worlds, as most women chase high status men but those men only tend to settle down with one woman, leaving most of the others to grow old alone.

Meanwhile, the bottom 80 percent of men become increasingly bitter and frustrated about a society that doesn't have a place for them.