No. You are the one with the proton pseudos, buddy. Your premise is false, because humans have more than one fundamental desire. Humans become even more frustrated, if they do not fulfill other fundamental deires.

So your “sexocracy” does not work. The “flower power society” of the hippies failed, and your “sexocracy” will also fail. But some of those who have other desires will welcome your “sexocracy”, because your “sexocracy” is no competitor for them. In the long run your “sexocracy” will even lead to more inequality, injustice, frustration, and so on.

I am sorry, but there is no doubt.