FantasyCraft takes a different approach.
One of the aspects of the Crafty game engine is Campaign Qualities where you set up the game you want to run. Two of these options include Miracles (divine magic) and Sorcery (arcane magic). Under both are a cascade of options you can use to flavor them...
There are only a couple of pages on it in the game. Mostly it relates to being caught up in Omens, Portents, Greensight and the like. There is not much in the game beyond that about it.
I have run a 2nd D&D game in college that was low magic. I had to slow down the level progression by a XP multiplier.
If I were to run/play it again, I would use FantasyCraft by Crafty Games instead of D&D to accomplish it. I could easily emulate GoT more to make it work.
With FantasyCraft...