Nobody else but me seems to notice what they were implying in "Vulcan Hello." That the Beacon is ancient technology but is still, somehow, incredibly advanced. Also implying that ancient Klingons were very VERY smart, building artistic touches into their spacecraft and outposts that would make Starfleet piss in its collective panties.They stole the technology from Hur'q.
In a sense, they're kind of drawing the Islam/ISIS connection here. T'Kuvma is a religious fanatic who wants to bring back the old unified Klingon Empire; in the real world, the Ottoman Empire used to be THE SHIT, they had the best scientists and mathematicians, the best military, the best schools. Then it fragmented, slipped into corruption and stagnation and a general standard of living that is barely acceptable even by their own standards. The few Islamic countries that are wealthy and stable are also corrupt as all hell, and the ones trying to make their best effort to actually do right by their people get rolled by terrorists, juntas, or manipulative pricks in the west playing power games.
tl;dr, the Klingon Empire is just a shell of what it used to be. The warrior class has taken over and they've turned their backs on art, science, music, literature, and ultimately even religion. If they seem backwards and barely competent, it's because they ARE. Doesn't mean that's how they've always been.