I don't think so - most banks are already digital. They use digital transfers to move money from location to location. The real benefit of Bitcoin is in its decentralised model and the ability to send it quickly for (relatively) low cost.

Of course that convenience is lowered by having to manage your own security (unless you get a web wallet). Opening a Bitcoin account takes seconds. Bank accounts - not so quick. Sending to anyone anywhere in the world takes a maximum of a few hours during busy times. Banks currently take days.

The problems isn't really the banks though - its more the layers of procedure and red-tape that are instituted to "stop" criminals. Bitcoin has auditability and complete traceability so can actually help law enforcement track payments without the need for regulation.

Unless there is a very compelling reason to switch (helicopter drops maybe???) I don't think Bitcoin is going to stop being used.