We are already hated throughout the world. Some hate us for being the richest, or the only current superpower. Some hate us for being ignorant of what's going on outside our own little world (have you heard anything interesting from south america or africa lately? No? Just Iraq and here and the occassional huge tsnami in India? That's pretty common in the good old USA)... There's a lot of reasons to hate us. But there is the type of hate they'd get for us leaving and things turning out rotten, or the type of hate they'd get because things turned out all right and we put out the effort to make sure it did.
Things need to turn out right, or we're flat out criminal. Even worse than when we completely ignored the situations in Rwanda or in Yugoslavia. We have to stick to our guns for once and work for things turning out better where we've created action.
And the last article I quoted was from the Middle East. Even THEY know we can't leave things to crumble this time. We've done it too much to the Middle East. They, if anything, deserve us to make sure things turn out there the way they need to.