Thanks for your thoughtful comment. A few things though, the Danish teach empathy in schools and also teach children to compete against their own past performance not each other. These are considered key elements for being a good manager and in fact, their economy is one of the strongest in the world, while at the same time having a high happiness quotient. And obviously, in things like sports, they do compete against each other, but it doesn't have that same win or die flavor that is so prevalent in the US.
In truth, about 20% of women out-earn their partners and about 30% make the same. All reliable research indicates that it's actually men who care the most about being seen as a provider - although women do want a guy who is financially stable and not likely to become a drain on them. In about 20 US cities women under 30 out-earn men and this trend is likely to increase. Naturally, there are women out there who want a man who makes more than they do, but it's not the same as it was 20 or 30 years ago.
"In societies where women are approaching equality with men in economic and political affairs, they are much less likely to seek older, high-earning men as husbands than in ones where women have fewer options for independence." Source
I'm glad to hear that you have a passion to understand. I think if we all came from that perspective, we'd have a much better world.