Does it, though? To me, that symbolizes more than perseverance. It symbolizes aggression. So much more than "We Shall Overcome," it seems to tread near the bounds of "An Eye for an Eye." The bow of the ship, the sharpest, most intimidating part of the ship, the part that cuts through the air and casts a long shadow over any unlucky smaller vessels that get in the way, is the part that is made from the once-office building steel. This does not, to me, connect in any way to the World Trade Center and what happened in 2001. It connects to what happened after, most definitely, but when I think of the steel from the World Trade Center, the actual metal that held up the buildings when they were standing, I don't think of what happened after. I think of what it was before, and I get uncomfortable. The people who died in the towers on that day were not, as a group, associated with the military. They were largely white collar office workers who were not prepared to be martyrs or symbols. They were victims of overwhelming hatred and violence, and to associate the memory of that terrible day with our own military might just seems wrong in some way.
To take the steel from what was an office building that became the site of a terrible, world-shattering tragedy and reuse it to create a memorial is a beautiful idea. It symbolizes rebirth and gives the phoenix-rising-from-the-ashes kind of imagery that we as a still hurting society need. But to put it on a battleship? That says something entirely different, and not altogether benign.