MV Blue Marlin was used to transport the damaged USS Cole from Aden to Pascagoula for repairs and later the hull of HMAS Canberra constructed in Spain to Australia for final completion.
The models are indeed by Albatros, Argos, and Rhenania Junior, including the underwater portion of the Cole.

The model has the Cole askew so the sonar dome is projecting over the side, but one of Ulrich's photos has her moved later to a straight alignment - I guess they removed the dome once it was out of the water to better balance the load for transport.