The Fed is NOT a non-governmental organization. It is a hybrid e.g. part governmental/part private. If you can name one other “non-governmental organiztation” which has its head appointed by the federal government, I’ll eat my words. Of course, no other “non-governmental organization” has the power to print money or write checks backed by nothing.
How about General Motors? Daniel Akerson advanced to the CEO position directly from the Board of Directors, where he was the representative of the U.S Treasury ( which owns 61% of GM).