I have two different thoughts on this subject.
- The government has no business insuring private companies (like banks). That just encourages the banks to take more risks because the feedback loop of going bankrupt is non-existent. So in the case where the government is not insuring the bank then we all would keep a better eye on the bank's stability and I would move my money asap.
- Since we do have the FDIC, there is no urgency for you to move your money. For one thing your bank might get purchased and you'll never see a disruption of service (happened to me with Netbank being bought by ING). If a purchase does not happen then the worst case scenario is you have to wait about a week to get a check from the FDIC. If waiting a week for your assets in this bank would hurt you then you should move your money.