Obama administration's economic stimulus package was designed to lessen severity and suffering of recession, not to stop it.
It was the whole matrix of actions, collectively, by Fed, Treasury, FDIC, under Obama administration, basically having government create markets in credit and mortgage when private parties had completely stepped away, that took the economic and stock market out of free fall to the point of current stabilization. Even the much scoffed at pass pass bank stress tests seemed to give the markets a pop and triggered inflow of new capital (their successful secondary stock offerings) from private sources, thus allowing them to pay government back for their TARP funds.
Bush I think basically wanted to kick the can down the road and let Obama deal with it in January, and Paulson's loyalities lay with his buddies on Wall Street (he basically wanted to drive dump trucks full of money up to the 9 biggest banks no strings attached, grossly overpay for their toxic assets, and then let the taxpayer deal with bill) than with the American people. It was their (in or incompetent) actions that allowed financial markets and economy to go off a cliff last fall, turning a more garden variety recession into The Great Recession or De-cession...
edit: Jim Bianco and Tony Crescenzi deriding
TARP, aka "SIV Bailout version 2008":
http://www.cnbc.com/id/15840232?video=872909280&play=1 :roll: (specific comments start around 7 minute mark)
edit #2: I think Buffett peak unemployment projections were from a CNBC interview that I can't find video clip for right now.