They get their big Islamic cleric get-together. They mull things over for a few days. Then they say, "Okay, we'll hand him over. OOOPS! We can't find him, he must have left the country."
They've done that ploy before in 1998. Now whether or not he actually does leave the country is almost immaterial - all they have to do is claim they don't know where he is. And (strictly speaking) they'd probably be telling the literal truth, even if they did know he was still in the country somewhere.