I think it looks only generally like a T-2 or T-3. It's a stretch. It looks more like the Ohio, of Operation Pedestal fame.
Since you have a model of a Japanese tanker that was torpedoed, and you want to do a scene of a torpedoed tanker, it would of course be best to do the Japanese tanker.
There are plenty of photos of the S.S. Ohio on the web. You can decide for yourself if your kit is close enough. Patrick Camelleri did a nice 1/600 scratch build of her that you can see in the Model Warships Gallery.
http://www.modelshipgallery.com/gallery/service/tanker/ohio-600-pc/pc-index.html
The Ohio was torpedoed, but not sunk, by the Italian submarine Axum. It was hit by one of 4 torpedoes fired by Lt Cmdr Renato Ferrini in what has got to be one of the most effective spreads in history. The other 3 hit HMS Cairo, twice, and HMS Nigeria. Cairo sank.
The Ohio had two sister ships, the Kentucky and the Oklahoma. Kentucky was sunk by Italian dive bombers and surface ships. Oklahoma was sunk by a U-boat off Savannah.
Yes, Liberties were made into tankers, as well as colliers. I recall the plans are in the Smithsonian Plans catalogue, but I don't have it here right now. Frank Gerhardt's site has a section designated EC2-S-AW1, but these have the traditional tanker form, with engines aft and a mid-ship bridge. I'm not sure if these are the tanker variants MSOB referred too or are another type altogether.
Fred