We have done this before. Nixon pressured Burns to ignore inflation, and instead concentrate on making the economy look good. It was no where near as extreme an attack on the Fed as trump is doing, but it was severe enough to cause a decade of stagflation.
Once confidence in the Fed is lost, it takes a long time to get rid of inflation. Confidence is almost lost right now. It is easier to accept a recession right now than to have to accept half a dozen recessions over the next decade or two.