I doubt if you could make Somalia "right" with an invasion.
Millions of people, armed to the teeth, stubbornly supporting different brands of Islam - they can't even agree on what kind of Islamic law they want.
Getting them to agree to the kind of reforms that would be necessary to get Somalia back up on it's feet with a working government, is just not going to happen in that kind of absolutist atmosphere.
Best thing is just to leave them alone to sort it out. It's an exercise in futility to try and cram good government down people's throats, if they don't want to support it.
Eventually, they'll see "this ain't working, we need to make some compromises and quit fighting amongst ourselves, for the good of the country". Or they won't.
Toughening up the international laws on piracy and putting some security personnel on board, with the weapons they'll need, might have to do, in the meantime.