Had an air-to-air battle with a China Soutern 747 going into KLAX several years ago. He missed us. I've kept the ATC computer printout of the event. He overshoots 24R, then 24L, then 25R, then 25L. The only problem is we were lined up on 25L.
So we turn away. End up 1 mile south of the localizer, just outside the FAF, with the 747 belly up to us as he's trying to make it back to 24R. 1700' lateral seperation. Yup, near miss.
Sorry, but I wouldn't fly on them.