The great filter isn't about extinction necessarily, but about not being able to transcend to a space-faring species. I don't think our ignorance of climate change will extinct us, but I do think the way we handle climate change is a symptom of the short-sightedness and willful ignorance that ensures we won't make it past Type I on the Kardashev scale.
I see your point, but to qualify for the great filter it has to prevent not only us, but most civilizations from continuing as technological civilizations.
I don't see it. Maybe at worst it's a temporary setback, not a permanent one.
