Cheaper to let MtGox die in bankruptcy and buy the customer list from the trustee.
The impact of Mt Gox bankruptcy is not that cheap.
As oldest and well known Bitcoin Exchange for several years, it will be quite sistemic for Bitcoin Economy. They can't just say: “Uh... Oh... Unfortunately we got hacked. All customer fund lost. Sorry...”
You may take a look at the Bitcoin Price Index, they have lost almost 50% since Mt Gox halt withdrawal.
Some Government may also considering to ban Bitcoin Exchange. They try to protect their people. And many more people will think Bitcoin is a SCAM without even knowing what Bitcoin is.
Personally, I believe saving Mt Gox is better than let them die. It will not come from easily printed money. It comes from hard earned money to bail out this dying company.
Mt Gox will be better with a brand new logo, CEO, management, products and investor. Imagine a large company like Google or PayPal buy this company and then integrate with their current payment system. It's better than let them die and create chaos in Bitcoin Economy.
Note: Bitcoin Exchange = Bitcoin Exchange Company (e.g: Bitstamp, BTC-e, BTC China, Kraken)