That's a little hard to parse, but if you're asking "What guarantees the FDIC has the money to pay back Americans who lose their savings because of a bank collapse?": The FDIC does. From https://www.fdic.gov/about/what-we-do:
The FDIC receives no Congressional appropriations - it is funded by premiums that banks and savings associations pay for deposit insurance coverage. The FDIC insures trillions of dollars of deposits in U.S. banks and thrifts - deposits in virtually every bank and savings association in the country.
FDIC insurance is a selling point for many retail banking products (like checking and savings accounts), so those institutions pay for the insurance so people will have confidence to bank there. More importantly, they buy it because it's required by law currently.
If the FDIC were abolished, the void would be filled by unregulated entities that would charge higher premiums and cover less, and there would probably be kickbacks involved - while the government watches with its popcorn - to disincentivise real free market competition.
That's if there were any kind of deposit insurance at all, I mean. The idea might be to encourage the American people to put their savings into a form they can retain control over - like precious metals, land, or digital currencies.