Well, it is established that artificial estrogens can play havoc with some species of amphibians, feminizing males so they have female body parts despite the male chromosomes. They're leading to the extinction of numerous species of amphibians across the world.
Artificial estrogens are primarily found in pesticides, but I believe that some fertilizers are also artificial estrogens. It's an interesting hypothesis that these estrogens could also be having an effect in human development and psychology similar to what it's done to some non-mammalian species. However, I doubt that estrogen as taken by women for birth control, gets out in the environment in sufficient quantity to be more than a drop in the bucket compared to what modern, industrial farming methods lead to. Now, I don't believe that that's actually the case that estrogens are causing that in humans, but it doesn't seem to be completely out of the question. It is an extraordinary claim though, and in science, it's an axiom that extraordinary claims require extraordinary amounts of proof.
So, until the proof of such is produced in sufficient quantity, it would be a mistake to flail our arms in the air and overreact to something that might not even be a problem. But if it did turn out to be true, I see no major problem with something that may bring down the human population on this planet to something more managable and sustainable. Maybe we could slow down or stop the environmental damage that's threatening all of human life.
Or shall we just take their dubious science at their word? If so, we need to stop the industrial farming, and go back to a method of food production on the small scale. Let's say, put around 75% of the population (or higher), back on the land on small family farms that don't use the heavy chemical methods. Sure, millions or billions would starve to death if we made a quick change back to those sorts of production methods. But hey, fertility rates might come back up in the developed world if we switched over to something like the developing world has, with the subsistence farmers and such. But we don't have to go back to the barefoot and pregnant expectations for women. That would just be crazy talk. We'd just have to switch over to an effective and non-hormonal birth control method, preferably one that's inexpensive and has few deleterious side effects, like the IUD, which is so prominently used in the third world today.