Wait, what? In a world where the population keeps increasing, automation is and will continue to drive unemployment, and environmental destruction is rampant... you're concerned that we're going to die out for lack of breeding?
A culture and society which devalues having children and raising them properly, even as a side effect of a nobler purpose, is one that will die out and be replaced with another.
Neither unemployment nor environmental destruction is incompatible with population decline.
The unemployment rate is independent of the population size, because fewer people means less demand which means proportionally fewer jobs.
And unchecked evil corporations can perfectly well automate environmental destruction and carry it out with a minimum number of people.