I don’t know about you, but I wouldn’t trust the Fed with access to my bank account - if they can put in, they can take out.
they already have the ability.
but if it made you feel any better, the banks could easily make a sub account that only the fedgov could deposit into, and only you would be able to write checks from/transfer from. maybe they could remove money from it, but they could not touch your other accounts (as they wouldn’t know the numbers without further searching).