The term Neo-Catholicism
has been used to refer to two different theological and ideological Catholic movements.
Neo-Catholicism is the liberal thought that came as a result of Vatican II, while Orthodox Catholicism represents the group that wants to return to it pre-Vatican II roots. Neo-Orthodoxy is really the old Orthodoxy. Neo-Catholicism is the new Liberalism.
Neo-Orthodoxy is occasionally used to refer to all who might be classified as being on the right of the Catholic theological spectrum and politics, though this is not the generally accepted meaning of the term.