And we'll likely all die reasonably content knowing it's not our problem. We're among the last generations that can expect to ride the current peak in human success before the hard bounds kick in and things either become much more difficult or more likely just completely collapse.
We all love to rest easy on the fallacious idea that (as Carlin put it) "the earth will be fine, it's us who are fucked."
It sounds nice, but the reality is far worse. Beyond a certain temperature bound, the entire biosphere collapses... completely.
"Oh but there are extremophiles that survive insane conditions!"
And what do they feed on? Organic particulate matter that filters down to them from the rest of the biosphere that depends on relatively tight temperature bounds.
Natural selection can only keep up with a certain degree of change in the mean of temperature before it just collapses.
If we generate the conditions for the collapse of human civilization, it's more likely than not that we also take all life on Earth with us.
And statistically... that means the end of life, period. That our planet happened to have the particular temperature bounds for long enough for life to emerge is vanishingly unlikely.