We actually don't know.
One of the original objectives of the Fed was to provide a "transition cushion" during tough times, then to "reclaim" the excesses when things normalized. Unfortunately that was abandoned in favor of "perpetually goosing the markets higher"... for whatever the rationale.
Where does that leave us? Could be that abandoning the Fed would be tantamount to "ripping out your heart... and seeing how you cope without it". (??) I dunno. But in the "big scope of things"... printing money and debasing the buying power of a country's currency... in the hope of resolving its financial problems... HAS NEVER WORKED*! NOT ONCE IN HISTORY!!
*HUNDREDS of historical, catastrophic examples. Why would anybody think the same "somehow might work this time in America"?