Can we still take money out of the bank if the banks are closed due to government shutdown
The banks will remain open. It is your money and the people's money they are using and they will have to let you have it whether the government shuts down or not. It has nothing to do with you own funds.
The banks are not going to close if the government shuts down
The government has nothing at all to do with private enterprise. You will not notice anything at all if the government shuts down.