One of the dangers inherent in this strategy comes in the timing of the rate manipulations. Be too aggressive with raising rates and you may lose large amounts of economic momentum. Be too slow to raise rates and you may have nothing to lower in the event of a recession.
So if China sold off a ton of US debt and it negatively affected the world economy, the Fed would likely cut interest rates in an attempt to counter the downturn.
[0]: https://www.macrotrends.net/2015/fed-funds-rate-historical-c...