Yes, there are many Bitcoiners who believe that everyone will become their own bank but I believe a more common sentiment is the idea off full backed reserved. But a great I feel that a more common belief held by Bitcoiners is that the "inherent" issues with capitalism come from fractional reserve banking. Now for the first time in history there is a form of money that you can prove in a matter of seconds that your money didn't move when you gave custody to the bank. In fact with multisignature transactions banks would simply act as a escrow service for those, I imagine a most people, who do not feel comfortable managing their own keys.