Jesuitical originally signified of or pertaining to the Jesuits; belonging to the Society of Jesus; Jesuit ( OED , again), the Jesuits being the Roman Catholic clerical order founded by Ignatius Loyola in 1534 as an intellectual bulwark against the Reformation.
Ignatius Loyola believed if he could demonstrate the power of the Catholic faith in purity of action and contemplation that followers of Christ could remain in the Catholic church and have an alternative to joining the reformation if they could revive Christianity from within their church while staying faithful to the Catholic tradition. 