I've got the basic functionality of the Ship Configuration screen working now. A player can now install modules from the Cargo Area into either the Command, General, or Engine section, depending on what type of module it is.
So all of the necessary modules for a basic ship are now in the game, but they don't currently actually affect anything. The next step will having the installed modules effect the ship, so the ship's maximum cargo will be calculated based on how many Cargo Modules are installed, and the ship's movement speed will be calculated on what Slipdrives are installed and what those drive modules are rated.
Here's a screenshot of the current Ship Configuration with my test ship shown. I'm going to make this a little prettier very soon, but it does what it needs to do.