I do think that anti-natalist sentiment is very much overblown in the United States, while in the EU we don't see this position being claimed in public a lot. If by "screwed" you mean anthropogenic climate change, then by now it's pretty obvious that it will be mitigated via some form of geoengineering (see, for example recent guardian's popularizing take on it: https://www.theguardian.com/books/2021/sep/30/geoengineering... )

To anyone who can look at the fertility curves and population pyramids, it should be pretty obvious that the real problem of the coming decades is demographic shift, and corresponding growth of dependency ratio. Compared to climate change, our authorities don't really propose a good solution for this crisis, except vague wording about more automation and more immigration (from the countries which, by they way, live through the same falling fertility curves).

If this reasoning still doesn't convice you, consider how hellish your own personal life is going be without grandchildren to take care of you. Western nursery homes staffed by min-wage workers speaking another language are not the place I'd wish for anyone to live in, but it's a de-facto place where grandparents of middle-class families are left to experience their final years.

In any case, I urge the readers to open the mentioned curves and statistical data and do the math to come to their own conclusion.