Obito wins this more times than not,
--I fail to see how nagato could control his Pein bodies when they are sent to another dimension, with that being said, once they are sent to kamui, they are not being controlled, and are simply being dispelled,
--Obito warps each of the paths bar possibly deva one by one to the kamui dimension,
--Deva can either get tricked into using ST, and then warped by Kamui or obito uses izanagi to respawn from his attack and easily warp him away during his cool down