I am of the opinion that there is no way of securing your bank accounts save opening the account in a foreign jurisdiction e.g. Sweden (as long as said jurisdiction has no information sharing treaties with the US).
Banks are considered instrumentalities of Congress, thus they are quasi-government institutions of the King (government). As such, you sign contracts with the King that allow said King to pretty much do as is his prerogative with those accounts. For you enjoying the "benefit" of an account, the King exercises his terms and conditions of the reciprocity contract in term.
Furthermore, the system is a debt system based on credit. You can't become free playing in a debt based system holding more debt based notes e.g. Federal Reserve Notes (particularly when they are rapidly depreciating on the currency markets and in purchasing power).
I strongly recommend the reading of George Mercier's
Invisible Contracts. George Gordan is excellent to listen to as well (
http://www.georgegordon.org/radio.html). The prior mentioned resources are free and on the web. When you are ready, purchase
The Red Amendment by L.B. Bork. I strongly agree with Weis. Learn the Law. Correct your status. Waive your reciprocity contracts with the King and forfeit the Considerations (benefits).
Regards,
netwrkranger