Waters, one advantage to taking a cruise line excursion to the Arizona Memorial would be if they guaranteed you'd get into the Visitor Center in a timely fashion. When you show up at the ticket desk, they sell you a ticket for a specific time for you to enter. If it's crowded, your ticket may be for an hour or more hence.
Once you go in, there is a very moving documentary being shown in the theater, plus a lot of other information and souvenirs to browse. Then you go onto the tender that takes you to the actual memorial, built right over the sunken ship. You can stay there as long as you want, before boarding a tender back to the Visitors Center.
I've done it 2 or 3 times, and it is equally compelling each time you go. There is a wall in the memorial that lists the names of the Navy sailors lost on the Arizona. One of the most moving scenes I've ever witnessed was a group of Japanese tourists standing at the wall, bowing, and leaving flowers.