Apparently not.
The rise of unbridled capitalism is what led to this in the first place. The government should be pushing for an overhaul of the system, not distributing bailouts which go into CEO's pockets.
Total, no-holds-barred capitalism is as bad as total, authoritarian communism. GM collapsed because it couldn't make itself profitable - because it couldn't adapt to the twenty-first century. Sure, it was a big giant in the industry. But giants have slow reflexes.
Instead of encouraging a few multi-billion corporations, the government can, and must, help a thousand small-scale companies. Which it is NOT doing.
And as for your argument about letting a big company fail, I agree.
However, what happens to all those people working there? How do they rise from the ashes?
In closing, a thought on the crisis:
The world came out of the Great Depression because of the Second World War. What about the Second Depression?
What if some government takes it into it's head that the only way to kick-start the economy is to start a war?
Scary thought.