I have a feeling my post will be more a record of my indecisiveness than anything! :P
When I read the first post I though 'Ha! I'm a (newly returned) roleplayer. I must be more of a world fan!' So 60-40.
I began to read all of the posts discussing reasons for why people are more world or story fans (or both), and it began to make me wonder. I love Tokien's writing. I love his creation of a unique, delicate, and extremely detailed culture of an entire planet. I love his characters interation, and their cultural beliefs mixing in with one another. I can't really say that I don't love the stories in LOTR. So I change to 50-50.
But the world, the scenery (both built up in my mind, and on the screen in the movies) is wonderful, and the history beyond that of The Lord of the Rings is what has kept me a fan so long. So now, smoke begins to come out of my ears.....
I think in the end I state myself as a Tolkien fan - through and through. Every part of his writing, and the wonderful way his mind wove a world of its own. That world, and every story in it, will always have me in wonder.
Am I just dodging the question? *giggles*