I feel like this is a really old, easily debunked argument. Rapid change toward a much warmer climate is likely to kick off a very abrupt extinction event. Which, incidentally, has already begun.
None of this makes climate change a good thing, but it's a useful corrective to headlines that suggest we're entering some kind of uncharted territory for the planet. The planet can take a lot more than we're dishing out, even if individual species can't.
And your evidence for that is temperatures millions of years ago, when neither we nor any of our close ancestors lived?