AFAIK, the reason why it wasn't was that it would ruin the supply chains of the other automakers.
The entire economy of Michigan (and many neighboring states) would have collapsed. Over here in West Michigan, we have many companies—ranging from mom-and-pop injection mold shops with 50 employees to large companies like Gentex, Delphi, etc. Those companies were already struggling back in 2008; GM going away would have meant the death of most of them.
I hate many of GM's historical business practices as much as anyone (there used to be two streetcar lines within a quarter-mile of my home, dammit), but the saving of GM was a critical component in preventing a catastrophic depression, especially for Michigan—which was already suffering before the Great Recession hit.
EX: Verizon vs. the old AT&T and the new AT&T.