Thanks, everyone!
While we don't have kids, I don't mind being around kids so that wouldn't be a problem. Also I've heard from a lot of people that the Disney cruise offers a lot for adults and has several adult-only areas (including a pool on board and beach at Castaway Cay).
The only thing that concerns me is the dining situation. I think it would be awkward to eat with strangers!
For those who have been on a Disney cruise, what is and isn't included (as far as food, drinks, activities, etc.)?