Banks fear bitcoin about as much as Coca Cola Company fears some kids selling lemonade. In the global financial market bitcoin is the equivalent of a statistical rounding error. Coinmarketcap.com's historical tracking shows that bitcoin's long-term market share of cryptocoins is declining, not increasing.
https://coinmarketcap.com/charts/#btc-percentageThat's the reality that banks do fear that they are going to be conquered by bitcoin. As the users of it doesn't need to go to the physical bank just to deposit and withdraw their money. It is very safe at all even if they are just going to deposit or withdraw in their houses. But as of now, it is not going to happen it is going to take a lot of time before it happens.