Why Is Obama Helping Al-Qaeda Terrorists Overthrow Gaddafi?

Why is Obama helping Al-Qaeda in Libya? Why is America helping terrorists who fought against the US in Iraq and Afghanistan? Does a country run by Al-Qaeda-linked terrorists run more efficiently than a country run by an anti-American megalomaniac? Do we have any assurances that Al-Qaeda will not end up in control of Libya? Did Obama ask any of these questions before he rushed into war?