In addition to having zero international flights out of New Orleans, I'm not so sure that MSY does have customs facilities. Maybe you are right, probably you are, but I haven't seen any evidence of Customs around since Katrina. Example: I was traveling with a man who was required to turn in a form to customs, and the airline told us that we would have to do it in DTW.

A shuttle driver told us that there was a rumor going around the "international" was going to be removed from the name, but upon reading this thread, I'm not sure that there is any process for doing this.