The day Bitcoin gets FDIC protections is the day it can go mainstream.
With bitcoin, you either have it or you don't. You can run your own bank, as long as you know how to safely store a private key.
It's easier (and safer) for me to hold a million dollars in bitcoin than a million dollars in cash. If I had a million dollars in cash, I'd be constantly worried that someone will find it and steal it. Hence the need for a bank. I feel much more capable hiding a private key, which is just information, than I do hiding 10,000 pieces of paper, which is physical.
Two of these already exist: BitGo[0] and GreenAddress[1]. Try doing that with physical money, and you understand why we have banks. With Bitcoin, you can have any level of security you like, and somebody only has to implement it once.
With bitcoin, you don't need a bank. I have a 24-word passphrase in my head that can be converted to my private key—a "brainwallet". I know it, and my parents do. It's not written down or stored anywhere. It simply isn't physical.
With those 24 words, you can unlock all of the value I have stored in bitcoin.
It's utterly amazing.