I've read comments here and there that the BG were not only complicit, but may have had a hand in the Harkonnen/Sardaukar attack that (nearly) wiped out House Atreides on Dune. However I don't remember any specific mentions of what they did to that effect, although it's been a long time since I've read them book.
They certainly had the motive and the means to do so.
- Had their breeding program gone according to plan and the Atreides heir was female, the plan could have been to orchestrate said attack and the female Atreides captured as spoils.
- With Paul, the motive could have been to eliminate this "wild" Kwisatz Haderach, which would set back the program many generations but surely BG have the patience. Although Mohiam did say something along the lines of "perhaps we can salvage him" so I'm not sure.
- One bit of contrarian evidence though is that Paul survived in no small part due to the Missionaria Protectiva. If the BG's aim was truly to eliminate him, why didn't they use all available means to remove this program on Dune?
So my question is did the BG support the attack on the Atreides, if so how, or did they watch idly in the hubristic hope of controlling Paul anyway?