The federal reserve being completely divorced from the government is intentional and a good thing. When you give the government the power of controlling the money, you get populist decisions that work in the short term while crippling the value of the dollar in the long term.

When you have banks that are incentivized to raise interest rates enough to make a ton of money but not enough to crash the economy, you keep the dollar as the strongest currency in the world. That's a good thing - the last thing I would want is for less free countries to expand their influence.