How much of 'we', do you reckon?
If you just mean "some much smaller number of humans might survive this", then I think there's a decent chance you're right. And I suspect that number will end up being 100 million or less. I still think our current trajectory is more likely on track for 0 (or damn near it), though.
There's no way in hell the earth is going to maintain 8 billion+ people on the planet indefinitely. There's going to be a major, major drop at some point, probably spurred by war over declining resources, and it's probably going to take a good chunk of civilization down with it. We might be several decades away from that (or perhaps not, there's some disturbing signs out there), but there's just no way that "number goes up always" on a finite planet.