Various embodiments include alignment apparatuses and associated methods for use on a turbine (e.g., a gas turbine). In various particular embodiments, an apparatus for aligning an unfixed inlet guide vane (IGV) adjacent a fixed IGV in a gas turbine. In some cases the apparatus includes: a first wedge member for interfacing with the fixed IGV; a second wedge member movably coupled with the first wedge member, the second wedge member for interfacing with the unfixed IGV; and an adjustment apparatus coupled to the first wedge member and the second wedge member, the adjustment apparatus for modifying a position of the second wedge member relative to the first wedge member to actuate movement of the unfixed IGV relative to the fixed IGV.