There is an option in .FBX to triangulate on export. That was the giveaway....... ;) .FBX to UE4 respects 3dsMax's modifiers but not Blender's, it seems.
Nope. I'm in a bit of a bind here, because any other quote from this movie is probably going to be a dead giveaway. I'll give a small clue, and if no one gets it, I guess I'll post a giveaway quote. The story revolves around a character who is a Vietnam vet (that might actually give it away).