N.O.E. in 3:06 (+unsolid world savefile).

By using the marking vehicle exploit from Explosive Situation you can keep them parked at the desert airstrip so they can be used as an obstacle to stop the plane.
As long as you don`t touch them they will not fall through the floor while you are in the rough draft world (the unsolid world that allows you to go through almost everything).
I believe the time taken was 3:06 + 15 frames (3:06.5)

If anyone can figure out a way of starting this mission and not taking or cancelling the call and is able to hold it through the entier mission, it can be used to skip the dialogue at the end to save a bit of time. Also, I think that if timed correctly you may be able to exit the plane just a bit after parking it as an alternative way to skip the dialogue.

If anyone also wants to try, here is this save used for this video:
https://drive.google.com/file/d/1lytJnnN7ylXhbsDq2EEXf_JuUXKEvJyK/view?usp=share_link
This save allows you to skip this very long setup:
https://www.youtube.com/watch?v=c3RXR4Io8XI