Gopher,
"I'm not sure how increasing the GDP would increase the money supply generally."
In the formula for money supply: M=(PQ)/V:
M is the total dollars in the nation’s money supply
V is the number of times per year each dollar is spent (velocity of money)
P is the average price of all the goods and services sold during the year
Q is the quantity of assets, goods and services sold during the year
Q is usually measured using GDP, and P reflects inflation.
So, all other factors being equal, if GDP goes up, money supply goes up, and if inflation goes up, money supply goes up.
"In our current situation, there are massive excess reserves piling up at the FED on deposit from the banks."
I was not aware of this, but assumed it was true. This is a huge problem for the reason you stated. I don't know if you have tried to get a mortgage lately, but it is very difficult. The hoops people have to jump through are horrible. We have swung so far away from easy credit that it is hard to refinance or get a loan for a purchase.
"Also I agree that creating an environment where sustainable growth in the GDP is fostered would be optimal. I'm pretty sure that every single person at the FED would agree with you as well. Alas, I don't know how to do that."
I don't think the problem lies (entirely) in the monetary policy. I think, right or wrong, that businesses do not trust the current administration to foster business friendly environment.