1: Withdrawal of all funds from a bank would cause the depositor to bounce checks previously drafted for that account.
2: Withdrawal of CDs would cause the depositor to forfeit a portion, or all, of their interest gained.
3: The Federal Reserve has the capacity to handle this, since only a few morons would consider listening to that call.
4: Consider the economic status of the person that falls for this. If you're a millionaire, you know better, and have money deposited across multiple accounts. If you're not, you can't pull enough money to affect any bank.
5: The only banks that might possibly take a hit from this would be the ones that were founded for the sole purpose of creating mortgages for resale over the last several years.
So, bottom line, it's for naive people that will only hurt themselves, and won't affect the Fed one bit.