Bitcoin will not eliminate the bank, because even if there is bitcoin we still need to use fiat money, and the bank is an intermediary between bitcoin to make fiat money.
Yes i agree that we still need physical money because lot of people cant use the digital money, so i dont think that banks will eliminate because of bitcoin, because in the first place they have different things to do. Yes its true that they have the same security system but if we are talking to their price its difference because bitcoin dont have stable price.