Do you think that one day you could open Bitcoin wallet in your bank, along with your.ordinary bank account? And will banks have their own wallets?
I don't think this can ever happen. bitcoin is good as long as it is decentralized. also bitcoin is designed this way to help you not need banks and do everything yourself so why would anyone want to go back to using banks is beyond me!
but then again I see services like coinbase which
are technically a bank!
Yes, so technically it was already happen

In general I think it will happen soon with banks. As soon as they finally realize that bitcoin is here for a long time they will start to offer "bitcoin bank account services". I think the first signal of starting this process will be acquiring of CoinBase by some bank or bank group.