The Tubbataha walls are very steep and deep. I'm not familiar with the particular location where the US navy ship ran aground, and it might be difficult or tricky finding a suitable deeper-water but-still-diveable site nearby for the wreck where it wouldn't simply fall off the wall and sink deeper into the abyss. However, if a good location is available, it might make a great wreck site.
Tubbataha is one of my favorite dive sites in the world and it's a world heritage site. But it isn't pristine and it already has at least two other wrecks that can be dived, the Malayan and the Delsan.
It was a few years ago when I was last there. I was with the director of the Tubbataha foundation that was managing Tubbataha at the time and we were on one of the foundation's bangkas (outriggers), not one of the commercial dive liveaboards that go there.
Photo of the Tubbataha Foundation boat we were using (photographed from a similar, "buddy" bangka that we had along with us for safety [problems often happen and single bangkas that go to this remote area sometimes disappear and are never heard from again]; also note the smaller bangka on the deck of our boat for travelling about).
(For additional photos, go to this report and scroll down to various Tubbataha pics: http://web.archive.org/web/200412210...iews.php?s=280)
Thus, we were diving at many locations off the beaten dive-site track, seeing areas that the normal recreational diver would not go to. We dived several former blast fishing locations where the coral and landscape had been reduced to rubble. It reminded me of the barren surface of the moon! I presume those particular locations are in the process of recovering and much better condition now. But it emphasizes the fact that Tubbataha has sustained considerable damage in the past and, even though a world heritage site, is far from pristine and untouched. It is also a huge area overall. The damage created by the recent ship grounding would be relatively minor in the big picture.
My vote would be to pull the wreck to deeper water and leave it as a wreck dive site. I applaud the US government's intended financial support for speeding up coral restoration etc. As a note, however, Tubbataha is in one of the world's richest marine life areas, full of breeding marine life of all kinds, and damage will heal naturally in a relatively short period of time. Anilao in the Philippines is a classic case of a damaged region that has bounced back to beauty in an amazing way.
DSAO -- and help keep your dive sites alive and well