About the "Mutants always win", it is not that Moira lied. Karima came from the future of life 10 of Moira, her current life. Aparently, they did everything right with Krakoa and mutants finally won, instead of lose as previous lives.
But the machines sent Karima back in time, creating a new timeline in Moira's 10th life, the things we're seeing now! So around the time Krakoa was being built, Karima was creating Orchis to counteract the Mutants and prevent her reality, when humans and machines lost.