The question I have is why the hell is there planes flying around?! Surely they would have closed the airport and got all of the planes down, right?
It's much easier to fly away from them. Tornadoes are slow, planes are fast. You want to land a plane (the most dangerous part of flying by far) during this? Sure, you might not want any taking off. Unless they are already full of people and out getting ready to take off and the tornado isn't there yet (or it's not heading that way) and the direction the plane is going is not the direction of the tornado, sure, why not?