Banks are going to stay but will eventually change significantly, guess to a somewhat extreme extent, totally unpredictable for now.
Once people start putting more power in crypto (i.e. laws of math) & each others and less in traditional mechanisms of trust between financial counterparties, a paradigm shift in society's mind would become inevitable.
In my opinion banks will have to accept cryptocurrency for their survival. If they do not use crypto in the future, they will disappear from the markets, because people are withdrawing their money from their bank accounts and putting in banks because banks use peoples money for themselves and give nothing or very small profit to customers.