It is within human nature to not care about things they do not have to deal with personally. We are just taking on the debt of our forebears and the interests are knocking at the door. The younger gens will be even more miserable.
But humanity isn't going to die. Some more fragile social constructs will collapse but humanity as a whole will continue. Even a catastrophic climate scenario would not wipe out everyone. A lot may die but we will endure. For better or worse.