Life won't stop with the 2038 problem. Without crypto, AI won't stop either. The rest is solvable. In 13 years, a lot of things won't exist.
It's not that bad.
Most computers and smartphones made recently are 64-bit and can hold numbers of 9,223,372,036,854,775,807. That is, they will count down to 292,277,026,596. So most of them (except for the really old ones) won't be affected.
As for ATMs, medical and military equipment, etc., by 2038, it is quite possible that most (if not all) 32-bit devices will not be used. They will be replaced by more modern systems that do not need to be fixed. The main headache may be equipment upgrades. But engineers still have 13 years to deal with it.