More then likely this is what would happen...... they both throw the respected high level jutsu. Now Rasen is a wind based and as it has been shown, its constantly spinning. Now for debating purpose lets say they are aimed at each other and thus conclide. More then likely one of 2 things would happen, Either a: Kirin gets caught in the spinning of Rasen and gets shot at different directions. or B: it gets caught in Rasen and becomes part of the attack heading for sasuke. even in nature, wind has changed the state of lightning, meaning its shape and direction! thats usually why in a storm, the 2 usually come together. I dont see Kirin passing through rasen. The only third option is they either cancel or combined and cause an even bigger explosion. The only thing kirin has is its speed so unless they are not aimed at each other I dont see kirin winning, and if they are not aimed at each other, sasuke aims for the chest and naruto aims for the head, Ironically haha. but then thats beside the point, both parties lose!
also side note, We have yet to see Rasen throw at a mountain, but if you recall, it does leave a huge crater behind, So to say kirin wins in power is an opinion. Also Rasen on top of leaving a crater, destroys internally as well, breaking the chakra network... So you get kirin which is raw power and raen which is raw power plus internal damage!