The Fed isn't the government and Yellen isn't a politician. Those statements aren't technicalities, they are facts. The Fed was vested by Congress to be the U.S.' banker due to Congress' abysmal history of failure managing money policy.
As far as money == political power, start with campaign finance reform. That's the vehicle being used to "buy" politicians.
As far as money == political power, start with campaign finance reform. That's the vehicle being used to "buy" politicians.