Our unchecked population growth has already caused/contributed to the genocide of many species in the last 50 years alone – in just one person's lifetime!
That is not a excuse for imposing mandatory birth control or sterilisation, and will become less and less pertinent as we pass through this extinction event and all the humans end up dead anyway.
As the environmental disaster gets worse, we will end up sacrificing more species in the pursuit of safety for our own. We might mourn the necessary sacrifice in passing, but ultimately the surviving humans will justify everything in the name of one more day.