The two are very different beasts. I don't see any need to hate one because you enjoy the other, though there are many who do, and I've put up a defence for both sides. I could go on for ever about the comparisons and differences, but I'll just bore you with a few for now.
The primary difference of course is the language. Martin is remarkably skilled at plot and character, as was Tolkien, but he does not possess the skill with language that JRRT did. Not quite - as he isn't by any means a linguistic slouch - but Tolkien's entire work stems from a love of language and an understanding of the years of history that can be found in one small word. When Tolkien invented a name for a character or a stream or a sword, he also invented a history, and one we can likely spend many years unravelling. That's not something you can get from Martin.
What I do find satisfying is the politics, and some of my favourite characters are those that play the 'game' the most: Tywin, Cersei, Varys, Littlefinger, etc. Tolkien presented us with sketched histories of Gondor, and I always wonder what tales there were to tell of the politics there. I feel sure he could have told them had he the time/inclination, as he showed glimpses of this with the Grima/Theoden relationship, and the way Gandalf advised Aragorn. And of course at The Council of Elrond. It's tgerefore unfair to criticise Tolkien for not writing extensively of 'the game', as we can see he could do it, but there was not the space to do so extensively.
And about those characters - Tolkien and Martin both get accused of being sexist and neither one is. Tolkien is accused of leaving out women, when we have female characters as diverse as Eowyn, Galadriel, Ungoliant, and Goldberry. Martin likewise has diversity; his women aren't just all 'fighters', he shows us women driven by devotion to their children, women driven by faith, teenagers, agi g women, ordinary women, etc. Speaking as a mother, he really understands that 'lioness' instinct. Bith Tolkien and Martin aren't afraid to give us a range of female characters - I see no problem with either.
And one more thing - magic. One of the aspects people sneer about with Tolkien is 'all the magic'. But there's very little of that! One day I'll sit there and actually count up and compare the instances of dragons/wights/spells etc in LotR and ASoIaF, and really see who comes out on top here!
