If you want to describe anti-Qaddafi forces as Islamists of the Al Qaeda stripe, you best be able to prove it.
But let's not mince words, you're not going to be able to prove it, because it's a stupid assertion on the face of it.
And who said we'd have to provide extensive military support, or rebuild Libya? Are we being required to rebuild either Egypt or Tunisia?
It seems to me that the onus is on the person who wants to change the status quo to prove that that the anti-Gaddafi movement won't be taken over by Islamists. First do no harm - to American interests.
Here's another thought - look up pictures of "Libyan female protestors." How many women do you see without some form of Islamic head covering, who are not Gaddafi's bodyguards? Note that Libya does not require its women to wear any form of the burka. Gaddafi's bodyguards certainly don't.
Are you looking for 'extreme' islamists?
Let me clue you in -all islamists in power are extreme islamists... islam is extreme -islam is an enemy of the west...