Even though Trump is an economic illiterate, he seems to understand that the public has far more confidence in a Fed led by technocrats than in politicians. In other words, destroying the independence of the Fed would tank the markets, which would effectively be a no-confidence vote by investors. On the other hand, Trump clearly wants to take control of all of the independent agencies, including the Fed; the unitary executive theory practically demands it. Can he resist grabbing for the marshmallow even though it will cost him in the long run?
The question practically answers itself; Trump can never resist grabbing for the marshmallow. At some point, the Fed is going to refuse his order to cut interest rates, and then things are going to get really exciting.