A C-130 that is hijacked and full of pirates armed with machine guns,?
My guess is that as the hijacked aircraft approaches the US airbase it is warned away. As it continues to approach, it finds itself bracketed by a pair of F-16s. If it continues towards the airbase, it's told that it will be shot down. The F-16 pilots would probably fly very close, in an attempt to physically steer it off course. They would show that they are armed. If none of the preceding measures worked, they would probably fall into a trail position behind the C-130, fire a missile, and shoot it down. I have my doubts that the Air Force would allow a hijacked aircraft to get within miles of a military base.