If an Avatar attraction had to go anywhere at Disneyland, it ought to be the Magic Eye Theater. Aside from the bonus of replacing Disney's flavor of the month showcase, the attraction would return to its 3D roots, featuring the latest developments in that field. Intrinsically, it would take advantage of the most celebrated aspect of the film and presumably the sequels: the planet Pandora realized in 3D. Personally, I would appreciate another attraction at the park that allows me to rest a bit while being entertained.
I realize conventional wisdom is that 3D movie based attractions don't have staying power thanks to their repetitive nature. I would posit that there simply hasn't been one built that takes advantage of contemporary advancements. Star Tours, for example, has multiple sequences that play at random and an attraction film could adopt this method. What I think is even more exciting is the possibility of such a spontaneous approach to the 3D elements! The combined variety of different films in tandem with equally unpredictable 3D effects would foster repeat visits. Not to mention it's easy to imagine a theater filled with those floating luminescent jellyfish creatures.
The Magic Eye Theater already has a motion base to help sell the experience, perhaps of us landing on another planet. In theatre projection mapping is already being used by Universal with fantastic results. Incorporate the institutional mainstays of water spritzes, compressed air bursts, and scents and all put together I believe you have the recipe for a brand new kind of experience. I daresay it could be possible to blur the line between a 3D movie and a ride. Perhaps the most impressive show of this kind that I've ever seen was Terminator 2-3D, specifically the first and third act. This could be the next evolution of that sort of adventure and it may be fate that it stems from another James Cameron creation.