I originally emailed the Italian Consulate in Detroit a couple of weeks ago. Today I got a response. They sent me two information packets:
The one new piece of information is that all of my documentation, if issued in other States, must be presented to this office, duly certified by the Consulate in the jurisdiction where the certificates were issued. It notes: Vital statistics certificates (birth, marriage, death, etc.) that occurred in the United States of America in relation to Italian citizens must be registered at the City Halls in Italy. The registration will be processed by the Consular Offices. In order to do so the certificates must be submitted to the Consular Office that has jurisdiction over the State in which the events occurred, in certified copies issued by the competent County Clerk Office and legalized with the “Apostille”. Simple photocopies or certified copies issued by the local registrar are not valid for registration in Italy.