The banking system has long emerged. In fact, Zigurats can be an example in historical ages. I don't think they're gonna disappear now. They will probably undergo a technological shift. I think classical banking will undergo change.
For sure Banks will adapt the changes and will add crypto in their option, I don't think that banks will just disappear as we all know how they play in our economy, they are controlling our financial system and once they found out how many people and how much money in the crypto market for sure they will do something for it.
The banks are already moving and creating their action to the demand for cryptocurrencies or digital currencies. We can see from the news that they are creating their own cryptocurrency and implementing the blockchain technology. They don't want to get left behind and lose the game in the financial industry and in the next 5-10 years, all of the sectors in financial industry will be blockchain powered.