So far, so good. Except, there's a hole. That hole is that the Fed hasn't followed the simple "Taylor rule." In fact, there's been a significant gap between Taylor rule and interest rates. Or more exactly, two of them.
The first was between 1994 and 1998 -- the Fed was consistently above the Taylor rule. This lead several more left-leaning economists to call for lower interest rates to get more growth. The second was between 2001 and 2008 - the Fed was consistently below the Taylor rule. What a coincidence. So the argument that the Fed was a transparent carrier of the economic demand for funds breaks down. The other point is that there is a simple explanation for all three - short term rates, inflation, and budget deficits moving in tandem over the last 10 years, namely that they represent the same thing, not a market that is clearing, but three different forms of the same thing, namely, risk aversion.