Legit, what do you expect him to do to unite the continent, by using his space tech? In order to peacefully resolve the scenario, he has to choose from:
A) Convince the southern faction to surrender (this is a political thing, not a science thing, his tech gives no benefit here)
B) Convince the south that the doc isn't a forgery (he could use carbon dating or something, but there's no reason to believe the southern faction would believe this, when it's a tech they were introduced to specifically to prove them wrong)
C) Forego convincing, and take them over by force using his space tech power
He's choosing C, which is the only one of those that would actually work in his favor. I don't know how you expect star trek tech to help him out in a way that isn't exerting military force on them.
Just for the sake of completeness, let's list some other options.
D) I could see using mercantilism and consumer products (like the hair dryer and alcohol distillery he already pulled from the ship's databanks) to try for an economic victory, but that depends on there being a state of peaceful trade between the nations of the continent. But since the continent has already been divided into hostile factions that are in a state of war, that's not going to work.
E) Try to turtle up, creating a DMZ enforced by orbital surveillance and drone strikes, to stay safe while developing the Starveek Kingdom's industrial and technological base, and human capital. The idea being that as the other states slip further and further behind in standards of living and prosperity, they will eventually give up their independence willingly to gain the benefits of Starveek's greater technological base. While some villages and towns might do this, I think it's unlikely to work for a majority of the surrounding states, and the Starveek Kingdom will need to annex Alois via force anyway. Just basing this on how empires have worked in the past IRL.
F) A variation of D, go Full British East India Company. Offer local lords positions within the Starvine Trade Company, full taxation rights and control over their local regions that they controlled under the Alois Kingdom, and the ability to call upon the STC's military forces to protect them from their former liege and neighbors in Alois, and in return, they work for the Company and the Crown. I think it would be interesting, though to make it work Alan would probably have to be as comically evil as the real British East India Company, and it still comes up against the issue of keeping up the will and determination to fight the Bugs over centuries that Selena was worrying about.
We still come back to C, unifying the continent under a Luminus Church that is controlled by Alan and Iris, as being the most straightforward solution that addresses both the short-term and long-term goals. If you think back to Chapter 37, Alan already took advantage of religion by have a drone act as the Apostle Isaac to convince the bishop to support him, and the Goddess called him out for using science to create religious "miracles" (though she was saying it in the context of science and religion essentially being for the same purpose, of actualizing the metaphysical into the physical), and then again in Chapter 44 Alan used the drone to meddle in the archbishop election, getting the bishop who supported him a promotion.