Banks are not against crypto. There are already banks in several countries using the Ripple network for international deliveries. This shows that banks and crypto are working together and not opposites.
Conflict:
Banks are concerned that crypto could reduce the use of fiat currency and reduce their revenue from services such as credit cards and loans.
Banks are concerned that crypto could be used for illegal activities such as money laundering and terrorist financing.
These two items regarding conflict have been refuted and the answer has been received that the relationship between the two is good in terms of cooperation. It's possible that the item you raised tends to be Bitcoin because there are differences between Bitcoin and crypto. It's just that people outside the forum still think that crypto is Bitcoin
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Bitcoin does not consider that banks are government-owned or privately owned financial bodies that are managed by groups consisting of several people and must be avoided, but the implementation of the bank system is irresponsible.
Both banks and crypto are financial engines that makes every monetary implementation and project possible. Why could there possibly be a conflict between both?
Government is mostly making a lot of noise about crypto because of some scam projects that have proved unreliable with crashing or freezing of accounts and money laundering activities. All they want is to tax, monitor and control Crypto.
If they succeed, then we would see how both entities would exist in physical proximity and relational services.