Jesuit education manages to be good.
it's almost like it takes a 1000 years, give or take, for a religion to blow off its steam and become reasonably peaceful.
Fundamental attribution error. It took Catholicism 1000 years to blow off that steam. That does not imply that the theology of Islam will ever move past barbarism.
Jesuits will survive and prosper long after movements like Quiverfull because they actually attempt to integrate modern scientific knowledge into their theology, instead of saying "well, the jury's still out on science."