Mostly rich alfa males pay for theirs children
It is all the children of those visible alpha-males you don't know about, and all the alpha-males which aren't visible. Do you think public personalities don't cultivate the image that they want you to believe. I think you are naive.
Also, you seem to have missed my point that the bad boys are often "fake" alpha-males. Women's hindbrains seem to be instinctively tuned to be impregnated by these indicators, which fool them into thinking these "bad boys" are alpha-males. And to some extent, that makes them alpha-males in the sense that expend their time and effort being superior to other men in terms of producing offspring yet also typically very unproductive for society in any other metric (c.f. my reply to @neilstrauss). You could read for example James A. Donald's blog post about a female attorney who has been fucking bad boys all her life and is now age 30-something and running out-of-options (because her hindbrain fooled her). Or other women who divorce their subservient husbands, destroying the children.
I have an ex with 3 more children from afaik 3 different men, for example. And I pay her monthly, because the government in the USA will revoke my passport if I don't. I'd probably pay her something any way, but I wouldn't have been paying the $1000s per month she was demanding (requesting) from me during past years (which I no longer pay). And I empathize with her inability to remain productive and choose more wisely. At least now I understand why she couldn't (and her 40s are approaching so it is winding down).
P.S. I've been at different times of my life a "bad boy" and a very productive entrepreneurial software developer. So I speak from my experiences.
To me, all life consequences are based on perspective from where you're doing your decisions. If you evaluate everything by worldly ways (carnal or hindbrain if you wish) consequences are usually bad in long-term (regardless if you are alpha or beta male or female). That is what distinguishes us from animal, we have freedom not to follow "the animal" inside. When I made decisions based on natural way of thiking I was always in trouble, sooner or later (and I did many of them). But when I was trying to made decisions from higher (faith) perspective (fighting natural world-view and my carnal side) although it was hard fight, I made much better long-term decisions for me and people around. When you are able to influence your wife with your example and integrity in this, her hindbrain can be silenced for her. Its up to everyone when he/she decides to follow better (or you can say Godly) ways. Like the female attorney you mentioned. Now she knows her hindbrain fooled her and she only devastated her life (and maybe some other) and she will not (hopefully) listen it anymore and will try to live by better principles. She found that by hard way. That's not necessary but unfortunately very often case. Everyone of us is stupid and proud in certain age, sad thing is when we don't recognize it and leave it. In a broader picture everything is just a way back to God. So perception of monogamy depends mainly on your perspective, for a human with an animal/carnal mind it's practically impossible, for human with a spiritual mind, nothing can be more natural. I experienced both of these states.