I don't think banking system is worried at all about the emergence of cryptocurrencies. Because their lobby is super strong and has been deeply rooted within society since hundreds of years. A mare cryptocurrency that emerged just 11 years ago, can't destabilize the foundation that banking system has built around the world.
It is true that the banking system has been deeply rooted in the society for hundreds of years, yet they see Crypto currency as treat to their system, some fight to erase it from the surface of trading and payment because it is like nothing they have seen but unfortunately it has grown more than their power can do. If you truly take a good survey you will discover crypto has gain so much energy and adoption that the banking system is becoming uncomfortable and starting to worry