WISE FWOM YOUW GWAVE!
I've actually been penciling out some stuff for a LoGH mod, because Stellaris is a space grand strategy game where leaders are very important and so it's my duty.
My first concern: Research and exploration. It's essentially a non-element in my plan. The main series of LoGH isn't set during a time of exploration, and technology during the show seems fairly static. Though certain feats of engineering do have major impacts, such as Iserlohn, Geiersburg, and the Artemis Necklace, it seems that the main reason why those aren't used more often is due to the sheer cost of building and maintaining those systems, rather than the technology not being available. The Alliance doesn't have any problems with the upkeep of Iserlohn once it's captured, for example.
Second concern: scale and general structure. The show has tremendous fleet engagements, where ships numbering in the tens of thousands clash, resulting in six and seven-figure casualty numbers. Furthermore, fleets are extremely mobile. FTL-wise, I'd lock everyone into hyperlane (this will also allow the chokes at Iserlohn and Phezzan), but speed is tricky. In Episode 32, War Without Weapons, Yang's trip from Heinessen to Iserlohn takes a month, so that's probably what we'll have to use for scale.
The real issue here is the number of planets and star systems.
While the overall structure of the galaxy is charted pretty well, this can't be the only part of the galaxy just as a measure of practicality. LOGH's large fleet enagagements have tens of thousands of battleships duking it out. While this can't be replicated ingame for practicality's sake (even if you could fit that many ships onscreen, even the sickest of rigs would chug like a frat boy under a leaking keg), fleets will still have to be pretty damn big compared to your average Stellaris fleet. We'll need each of those starzones on that galaxy map to consist of multiple systems, with only one entry point to each "connection" down the line. The starzones in the Corridors, however, will consist of a single system each, to preserve the chokepoint. This will allow for supporting larger fleets, forcing sectors to exist (and thus allowing for things like the El Facil Revolutionary Republic to fit with the game). The actual scale of the starzones will be scaled to the size of the fleets we want.
Third concern: Phezzan. Phezzan doesn't work in Stellaris. They hold soft power, owning a significant portion of the Alliance economy (including a tremendous amount of the government's debt) and having thoroughly infiltrated both the Alliance and Empire espionage-wise. There's no good way to represent this power mechanically. It'd have to be shown through events.
Fourth concern: Gameplay. I'd rather make this a mod that showcases the story rather than just making a LoGH-themed coat of paint for Stellaris, so the mod will have to be almost wholly event-driven, to the level of Kaiserreich. Nothing else would work. Fortunately, Stellaris has some tremendous scripting potential. As for writing the event chains? It'll take a lot of work. A hell of a lot of work. My plan is to start with the canon story, and slowly branch off in alpha updates until we have the main story and some reasonably common alt-histories (alt-futures?) that can play out to the end date just as effectively.
Fifth concern: Spelling. No, really! The spelling of some of the translated names seems a bit inconsistent. The closest thing we have to a canon source is the English version of the novels, so I'm going to use the spellings in there (even if it means I should be using Fezzan rather than Phezzan).
Some other, idle musings: The Empire is feudal and not well-developed, compared to the Alliance which has a much more centralized system of government and more highly developed worlds. I'm thinking the Alliance's form of government should give it more core worlds, and its worlds should start with far more buildings built, while the Empire starts with relatively few developed planets and many sectors, but more planets overall. That seems to mirror the situation in the show. It'll mean the Empire is more powerful overall, but isn't able to bring a lot of its potential to bear due to corruption, fighting with the nobility (sectors), and just having a really shitty economy, while the Alliance is less powerful on paper but can bring its limited resources to bear more effectively. Of course, if the Alliance doesn't make some changes, its economy is on the verge of collapse near the start of the story already. And some upstarts in the Empire might crash-develop quite a bit if they get power.
Ideology will play a major role. I wish characters had ideologies, and not just pops. Ah well.
There's probably a bunch of stuff I'm not thinking of right now, so I'll be back to post that if it comes to mind.