There are somewhat similar questions but I'm asking specifically. If the Bene Gesserit bred the guy and they know that he sees the future, why are they utterly opposed to the Golden Path? I realize they had plans of using the Kwisatz Haderach for their own purposes, but when they realized humanity was going to be wiped out wouldn't they figure that needs to be solved first? They don't believe Paul or Leto II that it's the only way for humanity to survive? They do believe it but they don't care if humanity survives so long as they gain some power before before humanity is wiped out?
Everything else about the Bene Gesserit is wisdom and long term planning. How could they just ignore the worst disaster possible? Do they ever discuss it? "Well Leto II's prescience is faulty, we believe that if we could take over the universe, we could avert this disaster." "Leto II made up a story about a disaster to just to take over the universe." "Humanity will be wiped out in 2,000yrs but at least the Bene Gesserit could rule until then if only the Kwisatz Haderach would look out for us."
If Leto II and Paul never told them then why is that? Somehow that's part of the Golden Path that the Bene Gesserit need to be kept in the dark or it won't work out the way they plan it? Why would that be?