Not really. He's a servant of Demise, and therefore qualifies as a member of the Dark Tribe.
True, Ghirahim is a servant of Demise, but does mean that he is related to the Dark Tribe? I could say that Demon King Malladus has connection to Demise because of his title, his looks, and the fact that he is an evil demon. Demise is said to be the source of all of evil by Fi’s comment, so therefore every villian is part of the Dark Tribe.
This eternal being has conquered time itself. It is the source of all monsters.
This is why I am not convinced that Ghirahim is a Dark Interloper. Ghirahim is an personification of Demise's Sword, not simply a Demon Lord. The Dark Interlopers are said to be individuals who mastered powerful dark magic for their lust for power and the Triforce. They seem to be more like greedy men who banded together for an object that can grant a wish than demons serving Demise. Why would they need to master dark magic when Demise is the embodiment of that magic? Why couldn't Demise give them magic at the beginning with the basic knowledge of how to wield it since all demons come from him unless he wasn't around to do that?
Wielding powerful sorcery, they tried to establish dominion over the Sacred Realm. It was then that the goddesses ordered us three light spirits to intervene. We sealed away the great magic those individuals had mastered. You know this magic… It is the dark power you seek…the Fused Shadow
I personally believe the Dark Interlopers came from the Era of Chaos. It talks about the Sacred Realm being fought over upon after Skyward Sword, leading to the sealing of the Sacred Realm. Since the humans in Skyward Sword were never described to be greedy, it fits well with this description from the Dark Interlopers Story:
http://www.glitterberri.com/hyrule-historia/page-77/"But soon, word of the Sacred Realm spread through Hyrule, and a great battle ensued..." — Lanayru (Twilight Princess)
The almighty power of folklore was lusted over by many, many people and there was a never ending struggle over the Triforce.
As for the Light Spirits, I found this from Glitterberri's translation of Hyrule Historia. I'm not sure if it solves anything about the Light Spirits and the Dragons.
Hyrule Castle is located in Lanayru Province in the centre of the land. The other provinces are named Faron, Eldin and Ordona after the dragons of the Era of the Goddess Hylia, and they’re protected by the Light Spirits bearing the same names.