I think there will never being a bank for Bitcoin only 
). If Bitcoin can make bank better so the state bank of a lot of countries all over the world wouldn't find the way to ban Bitcoin in their country. Bitcoin will make bank disappear soon if it'll be legalized in any country cause nobody will wanna keep their money in bank anymore because invest in Bitcoin will bring better profit for them everyday not everymonth or year like bank interest.
). If Bitcoin can make bank better so the state bank of a lot of countries all over the world wouldn't find the way to ban Bitcoin in their country. Bitcoin will make bank disappear soon if it'll be legalized in any country cause nobody will wanna keep their money in bank anymore because invest in Bitcoin will bring better profit for them everyday not everymonth or year like bank interest.