Humanity is doomed in the short term by its own hand, and that is the absolute best fucking thing that can happen for the planet and the other life on it medium to long term.
We appear to be a self-solving blight upon the natural world. As the late, great George Carlin put it, the planet is ramping up to "shake us off like a bad case of fleas. A surface nuisance."
As a species, we've proven beyond all doubt that we are too malicious to be stewards of this world, and too self-important to ever peacefully, recede in numbers in order to find equilibrium with this world as inhabitants, rather than have dominion over it.
I think you underestimate how much we have in common with Roaches... Even a nuclear apocalypse will be survived by some, unless we turn our planet into Venus (wich would also kill everything else) there will be humans. Even if we would loose 7 billion people, we would still survive as a species.