If that's your logic, it's very hard to argue with it. It's literally a separate entity even from what you described.
> Where do you think coins and federal reserve notes come from?
the federal reserve which is not the government.
If you think government can print money out of thin air why do they even have to collect taxes. Can they not print their yearly expenditures?
You should think more on this question before you reply with some circular theory
From the fed's own website (notably a .gov domain):
"Some observers mistakenly consider the Federal Reserve to be a private entity because the Reserve Banks are organized similarly to private corporations. For instance, each of the 12 Reserve Banks operates within its own particular geographic area, or District, of the United States, and each is separately incorporated and has its own board of directors. Commercial banks that are members of the Federal Reserve System hold stock in their District's Reserve Bank. However, owning Reserve Bank stock is quite different from owning stock in a private company. The Reserve Banks are not operated for profit, and ownership of a certain amount of stock is, by law, a condition of membership in the System. In fact, the Reserve Banks are required by law to transfer net earnings to the U.S. Treasury, after providing for all necessary expenses of the Reserve Banks, legally required dividend payments, and maintaining a limited balance in a surplus fund."
The Federal Reserve is the central bank of the United States. Its board is nominated by the President and confirmed by the Senate. It's the government.
Politicians sometimes like to pretend it's not so they don't get blamed for unpopular choices.
> It doesn't set the interest rates on treasury bonds. They set a target and engage in the market to get the price to that level
That's what setting interest rates means.
> Definitely not!
Where do you think coins and federal reserve notes come from?