I believe that Midway already folded and decided not to try to reorganize, so that's not an issue.
As far as competition goes, there are tremendous barriers to entry in the airline industry. This ain't a business where your everyday Joe can just show up and start an airline. Starting a new airline to create competition isn't like opening a new pet shop or gas station.
Now, personally, I think that this country would be well served by four, maybe five national airlines and several regional airlines.
But you need to keep in mind the huge barriers to entering the business before you go and say that if the feds don't help out, there will be more competition.