He was one of the cardinal electors who participated in the conclaves of August and October 1978, which selected Popes John Paul I and John Paul II, respectively. Carberry helped lead an internal campaign against the liberal Archbishop Jean Jadot, the Apostolic Delegate to the United States, whom he perceived as "destroying the Catholic Church in the United States." He was a vocal critic of the television sitcom "Maude", which he said "injected CBS-TV as advocate of a moral and political position that many not only oppose but find positively offensive as immoral. ...The decision to secure an abortion or the decision to have a vasectomy, even for those who choose them, is hardly a joke."