It's wrong to assume that cryptography will lead to a chaotic and dystopian future.
Cryptography is just a tool like knife, it can be used for good or for bad.

Some people might use this tool for bad which will disrupt the society negatively, but as a defense response the society will eventually evolve back to what we had before urbanization: strong local communities where people in the local community trust each other but are extremely suspicious to outsiders. Our social relations will be our greatest defense against possible threats from the outside.

Changing the parameters of a system will lead to instability short term but a new equilibrium emerges always.