MtGox will not be bailed out because of the relative unimportance of bitcoin to the larger economy, not of any high-minded free market idealism.
Since the MtGox explosion, bitcoin prices (and therefore real purchasing power) are down by about 30%. If bitcoin were a national currency, the government would be doing everything in its power to prevent such a decline, including saving MtGox by any means possible. It would absolutely be too big to fail.
By way of comparison, Greece's economic woes drove its real purchasing power down by about 11%.