This is a bit shortsighted, I think. It has supported life, yes, but it has not supported CIVILIZATION for millions of years.
Many hypothesize that human civilization, specifically our population size, would be completely and totally unsustainable with even a minor climate change.
Sure -- Earth would be fine! Life would be fine! Heck, we'd likely trigger what we would call an extinction event, but life would recover.
Humanity and civilization however are absolutely dependent on a narrow range of climate for our agriculture. Them's the facts.
If temperatures rise even 10° average, then about the majority of human population centers will be underwater and agriculture as we know it (the plants we're used to eating in bulk) are no longer feasible in the quantity or quality we expect. Those temperatures were seen in the Jurassic, and Earth and life were fine! But I do not think human civilization would be a fraction of what it is under those totally natural circumstances.
So sure. Life will be fine. Humanity could be on the brink, though.