That would be a wonderful event if it can be made to happen. But we have the Fed precisely as one of the checks and balances of the kind envisioned by the framers in a different context. Presidents always want growth because growth means votes but hard times mean electoral defeat. The Fed is charged with wanting the survival of the system, that is, control of inflation and the encouragement of employment.
We conservatives reject socialism precisely because when politicians control politics they do so not do it by submitting themselves to the truth of the balance sheet, they do so with greedy eyes on the latest polls. The results when politics control the marketplace? San Francisco and derelict city-owned shopping centers in Cleveland.
If Republicans were put on earth to cut taxes, the Fed was designed to say no to presidents. That is half the equation. Equally, presidents are there to pressure the Fed to obey his version of the popular will. President Trump is playing politics, good on him, that is what is supposed to do. When the context is somewhat different, for example when Fed and the president are in alignment concerning intrastate levels, we often find the opposition party in Congress attacking the Fed. They are doing what they are supposed to do. The system can go out of balance when you have a weak president like Jimmy Carter who must be brought back into reality by a Paul Volcker.
Until we can reform the Fed, we can at least understand that all the actors are on the stage playing their parts.