The only WW2 ships left in any Government Reserve Fleet are the 2 Bouy Tenders in Suisun Bay (Iris WLB-395 and Planetree WLB-307)
The next closest is the Observation Island AGM-23, which dates from 1953 and there are only a small handfull of 1950's era ships left. Once in a while, you can find WW2 parts on a 1950's/1960's era ship if the ship was built using parts already onhand/in stock and those parts were procured in WW2.
The best remaining chance for WW2 parts will be when the Navy disposes of the Shadwell (LSD-15). But who knows when that will be, if the ship will even be safe for boarding at that point and if the parts you want are in a section that they didn't reconfigure or burn up?