An instant in geological time not a literal instant. Death of modern civilization is always a risk, but not directly from climate change.
The global food surplus is projected to continue even in the worst case. Energy and raw material production is similarly not a major concern. People continue to live in Dubai which demonstrate how extreme local conditions can get without forcing exodus. Further, few places are expected to get even that bad.
Yes, changes to weather patterns, sea levels, invasive species, even diseases are likely. But, collapse of civilization is only really a risk if WWIII kicks off.