They really started going off the rails in the middle of the 20th century. God is punishing them for their faithlessness, and their numbers have utterly collapsed. Once they shrink to a suitable size, they'll start getting more Catholic again. That is already happening in certain corners of the order, particularly the developing world (where even they are growing). There are a significant number of orthodox outliers, some of whom are very well known (like Fr. Joseph Fessio, a student of Joseph Ratzinger and founder of the excellent Ignatius Press, and the fine Fr. Mitch Pacwa, on EWTN).
After this chastisement, I've no doubt they will flourish again. Their founder, St. Ignatius, is a giant in the Catholic Church, and the order has produced many great saints. Its charism is one of those that will last for ages and ages, like the Benedictines or the Franciscans.