Interesting and relevant story. I think an important point that they left out was the impact on fertility rates of children whose parents were divorced.
Ultimately, I think it's going to be a lot more difficult for parents and children in the coming years. Our society in general is anti-child, and the infrastructure that would otherwise support young families is not doing so well. The government schools are a scandal, and with smaller families over generations there are fewer resources for young families to rely upon.
(Full disclosure: I'm married and childless.)
The family structure will need to change. The nuclear family can't be sustained for much longer by many, many people. Look for a return to multi-generational extended families.
I just don't believe we are getting low on kids. Go to any Walmart during the day. They are full of pregnant women , with usually one or two in the baskets.