Strictly film plot as well:
Before kicking the harriers out use one of the cargo straps around the nose gear, the other tip tied to the rear door/jump door. Don't accelerate the harrier in the cargo hold (enough room to reach 100 kts anyway?), just let it slide out and its own momentum will spin the harrier forward. Use the 300 kias to windmill start the engines and voila!, now you are ready to save the world.
Oh!, and it is stirred, not shaken.