Bitcoin Bank the idea is good, but this plan will not work out. If you want work out, this idea means the first thing you need that your government will accept Bitcoin as a legal currency. First, solve this problem after words we can discuss Bitcoin Bank. Till that, this is a unnesssory discussion.
Actually, bitcoin bank is a good and nice idea. However, if there's a bank who allow bitcoin I think they can't handle it well and its because of the price. Bitcoin doesn't have exact value so that its very hard to handle. Lastly, I still believe that there will be bank who accept bitcoin as a deposit or saving of their costumer.