After completing his seminary studies in the American College of Louvain, he was ordained to the presbyterate for the diocese of Honolulu at Saint John Vianney Church in Kailua on October 18, 1985 where he served as a parochial vicar. From 1987 until 1990 he served as an associate director for adult religious education/catechesis for the Diocese of Honolulu, with an office at Saint Stephen Diocesan Center. In 1989, he was appointed interim pastor for the topside parishes on the island of Molokai. He created one of the first clustered parishes by combining these communities into the Molokai Catholic Community, where he served until 1990. After his doctoral studies in Rome, he returned to Hawaii in 1993 to be appointed diocesan theologian and director of the diocesan lay ministry training program called Servant Leadership. He became founding executive director of the Hawaii Catholic Conference, the public policy arm of the Roman Catholic Church in the State of Hawaii, from 1994 until 1999. In 1998, Bishop Francis DiLorenzo appointed him as pastor of Sacred Heart Church and Maryknoll School in Punahou. This also included the Korean Catholic Community. In 1999 he was subsequently also appointed as pastor of Saint Pius X Church in Manoa. The two parishes were clustered and have since been called the Manoa-Punahou Catholic Community. Since his public policy days, Alexander has testified on legislation addressing homelessness, housing, same-sex marriage, euthanasia/assisted suicide and domestic violence. As vicar general he led major initiatives in strategic planning, the diocesan capital campaign, and restructuring the central administration of the diocese. Bishop Clarence Silva appointed Father Alexander to the office of vicar general for the Diocese of Honolulu effective February 1, 2006. Bishop Silva appointed Father Alexander as his moderator of the curia, on May 5, 2006. Alexander has also served as vice-president and chief executive officer of The Augustine Educational Foundation. Alexander resigned as the Homeless Coordinator for the Hawaii Governor's Office in January 2012 due to an affair with a woman while he was an ordained Catholic Priest.
Publications
“The Problems with Physician-Assisted Suicide,” Origins: CNS Documentary Service.
"Catholic Perspectives on Euthanasia and Assisted Suicide: The Human Person and the Quest for Meaning," Cultural Issues in End-of-Life Decision Making
"Church and Ministry in the Works of G.H. Tavard"
"G.H. Tavard's Concept of Tradition," The Quadrilog: Essays in Honor of George H. Tavard