You might look into the Norway rat experiments done by Calhoun and the idea of a behavioral sink. The essence of your hypothesis was disproven, in rats, likely before you were born.

It seems your idea of the primacy of the forces of evolution, especially when this view is overextended and when competing forces are oversimplified or excluded, produces this dystopian view.

Reproduction does not continue no matter what. The genes of people who want to have kids have been shown to be overwhelmed within social mammals, purely by social forces.

Humans are unique in that they can escape the behavioral sink. It is your simple extrapolation of the theoretical animal limits that produces projected doom. But that extrapolation does not even hold in animals.