So if the Fed was somehow able to increase money supply by getting money into the hands of the average consumer rather than wealthy individual and institutional bond holders, monetary policy would be more effective?
EDIT: oops didn't see OP already clarified.
Monetary policy increases the money supply itself through the exchange of money for treasury bonds and relies on banks to distribute this "new" money, while fiscal policy redistributes money that already exists (previously collected through taxes) and gives it to active businesses through government purchases rather than to bond holding institutions.
That's basically fiscal policy, and was not implemented much after the initial Obama stimulus (or not at all in Europe, really, due to all the austerity rhetoric by very serious people).