Why in the world would terrorists take over an airport and draw lots of attention to the same place that they were in the middle of moving a bunch of nerve gas from? Why wouldn't
they pick a different airport to draw authorities AWAY from their nerve gas storage place.
And why didn't Frodo and Sam just ride the eagles into Mount Doom to toss in the ring, instead of just riding them out. Hummm??
Because the eagles were very large and would have been spotted by Sauron's forces. When the eagles came to save us after the destruction of the ring, Sauron's forces were destroyed and they could pilot through the chaos. They still risked their lives to save us, but at least it wasn't a suicide mission.