This may explain a lot. Perhaps our current media exports are offering a misleading perception. I would suggest you look at the public data, as it might be a better basis for forming conclusions. I would wager a beer that actual data (NB: or any time spent in pretty much any corridor of power in America) will not support the conclusion that white men in America are disadvantaged relative to other groups.
Also: we don't actually have all that many social clubs here; they are in some ways a relic from the past. I would suggest they are opening up to black people and women as a result of self-interested response to market forces. The types of clubs that denied admission to black people until well into the 1990s aren't the types of clubs that cave because Huffington Post ran an unflattering piece.
Anyway, possible interesting stats for your further research:
- average/median earning of single women in their 20s comparing to the same group of men in officially recognized fields (no sugar daddy incomes etc.)
- ratio of female/male university graduates
- number of male-only clubs forced to close or allow female participation comparing to the number of female-only clubs
Frankly, I couldn't care less about men-/women-only clubs, I just don't understand why former are scorned upon and latter are celebrated. I come from a part of Europe that was pretty equal for a long time so seeing this happening seems extreme to me.