When I moved to the US, I spent a week+ living on cash until I had my bank account set up. Being able to buy pre-paid VISA cards for cash at retailers solves the part of the online issue as well. You can be a 'mattress' banker with cash if you wish, securing your house just like you would secure your computer.
Not sure there is as big as a difference between BTC and the current as people would lead you to believe. Emphasis on as since there obviously are differences - at least until new laws get thought up and passed.