Many transitive verbs in Kimaragang exhibit a kind of systematic polysemy similar to that observed in the English locative alternation. For most roots, the different construals require different voice paradigms. In this paper I argue that morphological constraints on restructuring in Kimaragang can best be explained as a requirement that the construals associated with the two verbs be unifiable, supporting an analysis of restructuring as unification of Lexical Conceptual Structures in the spirit of Butt (1995, 1997).