This is fairly easy if you want to learn.
The general rule about using other peoples work is you may use or modify but cannot release the mod to the public without permission from the people who created the assets.
From the mod you want the ship from, copy the ships entity from the GameInfo folder and the ships mesh file in the Mesh folder. To find the ships entity name, open the mods race playerRace.entity and the capital ships entities are in order they are in game. To find the mesh file the ships entity calls for, open the ships.entity and near the bottom look for Mesh "ShipsMeshName.mesh"
Once you have those 2 files copied to your mod, open the playerRace.entity you want to replace the ship and replace the capital ship entity file name with the one you copied.
You will also need to look over the new ships entity to find any links to new sounds or abilities that might have been added.