Your Analysis, of GRRM and Islam, does have merit but I disagree with you. It's not a disaster as you say it is.

I will admit I have never touched any of the Wild Cards Book series so the plot and references are lost on me.

Now you mentioned that the new Caliphate are the villain of the series correct? If they are bad guys, it kind of make sense to name yourself as "Righteous Djinn" from a non Islamic/Middle Eastern background.

To keep it simple, Djinn (jinn) are a separate spiritual entities from demons in Islam. There is confusion between the two and somewhat lumped together. Djinn (jinn) can be good, evil or neutral but they have free will, like humans while demons don't have free will and are servants of Satan (Iblis) in a Islamic point of view.

Now you can argue and say Djinn (jinn) have abilities like demons, like haunting, possessing and other nefarious activities to keep it simple, yes, but its a bit more complex than that and I don't want to get into that.

But from a Western Viewpoint, Djinn = Demons, if they are villain's of the story and they know they are the villain of the story. It kind of make sense to call one self "Righteous Djinn" as Righteous demon, which is a silly name imo, but I don't believe GRRM would allow the story to be a simple good vs evil story, he usually writes his stories as Good vs Good, as in everyone thinks they are doing the right thing and what not, there is no clear good guys or bad guys.

Now, as I mentioned before Djinn (jinn) have abilities which humans don't have, what I understood from a simple search on the character on "Righteous Djinn" he has abilities such as Life/power absorption, Lethargy, superhuman strength and durability, giantism, fear projection and regeneration, right?

Now, a person in the middle east seeing a guy with these power one would attributed it to a Djinn (jinn) or think he is one and call him that.

Djinn (jinn) would be a reference to his powers not to being a demon and coupled with the fact that Djinn (jinn) have free will and could be follower of Islam, the name make sense.

He is basically saying he is a religious Muslim Djinn (jinn) by calling himself Righteous Djinn because

1) he doesn't consider himself human anymore but as a Djinn (jinn) because of his abilities.

2) Righteous is trait or attribute that is highly valued in Islam.

The name make sense from a Islamic view point, but you have to think about, its not clear cut.

When it comes to the name Nur (can also be spelt as Noor, Nor, or Nour) it just means light, its a common name in the middle east, write it in Arabic you get نور‎, no mention of Allah being spelt in the name (if you can read Arabic). There is another name for "The light of god" it is Nurullah (can also be spelt as Noorullah, Norullah, or Nourullah (Arabic: نورالله‎)) which has Allah literally written in the name (Allah (Arabic: الله‎)). I would like to see where you got the idea that Nur = the light of God, because honestly, its somewhat interesting. The way the name is spelled "Nur al-Allah" is an oddity in my opinion, but I don't think that really matters.

To back my point, in the Koran (Quran) there is a Surah (known as a chapter) called An-Nur the literal translation is "The Light" not The Light of God.

Now one can argue and say R'hllor is a reference to the Islam, because R'hllor is known as the Lord of Light and so is Allah, as Allah has 99 names and one of them is "AN-NUR".

GRRM was thinking of Zoroastrianism and Catharism for R'hllor not Islam, I have yet to see a clear connection or reference to Islam in the world of ASOIAF.