Bitcoin is supposed to replace part of the banking system in future, i.e. predominantly online banking transactions. But the whole purpose of a bank is far more than this. Banks give u interest. Banks give money to businesses. Without an institutional way, u cant do it. Bank will probably adopt Bitcoin as a medium of exchange in future and that would branch out new banking activities as well as closing certain ones. But banks are gonna stay... for the
GOOD 
Banks will have their place for certain things, but bitcoin will hopefully cut into their monopoly.