Education has little to do with childbearing per se. As societies become wealthier the birthrate drops and this is what is being observed here. Of course, with greater access to jobs and education the willingness of women to marry and bear children becomes much more costly to the woman in financial terms. Socializing that cost is a rational response whether it will work is the question.
There is no problem with raising the birthrate: reduce womens' economic choices, outlaw most abortion, impose strict religious upbringing (moslem, fundamentalist Christianity, etc.) and the birthrate skyrockets. This, of course, will NOT be the course taken in the West.
I doubt it. People don't have children and bring them up because of rational cost-benefit calculations.
As I said, ultimately the cultures that reproduce will win (barring a nuclear attack).