I can't find any information about the wreck being moved or demolished. Here is what I did find:
The Fathom II was 125' long, 230 gross tons. The ship was originally a wooden hulled mine sweeper that was decommissioned from service. It was purchased in 1971 by Fathom Expeditions, Inc., and registered as a Research Vessel. It was then taken to Nicaragua on an unsuccessful treasure hunt.
The 21 investors in that expedition sued for breach of contract and got some of their money back.
In 1972, the ship returned to Jacksonville, Florida and was refit for another expedition. While at anchorage, the vessel was cut in half by a Greek oil tanker, the "M/V Gavrion". The Gavrion is 579' long and was relatively undamaged by the collision.
Here is the collision information from the official court documents:
Shortly before six on the morning of October 16, 1972, the Fathom weighed anchor at the anchorage grounds near the St. Johns River at Jacksonville, Florida, and proceeded to follow the pilot boat toward buoy No. 4. She proceeded on a southerly course toward that buoy at about seven knots and about one hundred yards behind the pilot boat until the buoy was in sight. The Captain of the Fathom, Douglas Batchelder, was on the wing of the bridge; the Chief Mate, John Bush, was steering the vessel. No lookout had been posted. When the Fathom had nearly gotten to the buoy, the pilot boat turned around and headed back; Batchelder went down from the pilot house to a position on the starboard side of the deckhouse; at about that time Bush saw the Gavrion on his port side. At this point the Gavrion was no more than 150 yards away; Bush put on emergency speed and came hard right. The bow of the Gavrion collided with the port side of the Fathom about fifty feet from the stern. The Fathom was cut in two, the stern section sinking first. Immediately after the collision the pilot boat pulled along side the bow section, on which the seamen had gathered. They were brought aboard the pilot boat and then taken ashore.
I also found mention to some personal effects being salvaged from the wreck but beyond that there was nothing.