I have seen predictions expecting mass forced migrations, decrease in sustainable population, etc; but unless you're literally expecting the vast majority of the worldwide population to die, it's not an extinction-level event, it's not near extinction-level event, it's an entirely different ballpark.
It might be a horrible catastrophe, it might change civilization as we know it, that's for sure, but there's really no valid reason to mention the term of extinction in this context. There are some risks/potential events that have a (low) chance of threatening extinction, but the expected climate change is not one of them.