Then you put your funds in less risky banks who did not lobby to get an exemption from the regulations that protect against precisely this kind of thing. Even, spread it around safer banks.
Putting all of one's money in a bank because they have better returns or other investment opportunities is business. Not something that someone can be safe at the public's expense.
The public, because the public will pay for this one way or the other - if this is paid from the insurance that insures all banks like how the statement says, then it will cause all the banks who pay into this insurance pool to reflect it on their customers with fees. So every single person with a bank account in the US will pay. Its still public money, but it doesnt come directly from the US govt.'s pocked, so its 'okay'.