Yes, the process of dissolution of marriage applies to ‘mixed’ religious marriages. This is governed by the Jurisdiction in the Matter of Dissolution of Marriage (Special Cases & International Jurisdiction ) Act of 1969, which was streamlined in 2005. Most probably jurisdiction to dissolve the marriage will lie with the family court, but a final decision on whether it does so, or whether it lies with a religious court, will be made after the Vice President of the Family Court receives an opinion from the Greater Rabbinical Court and the relevant Roman Catholic Court, in accordance with law.