ogr - Reprojecting from MGRm to WGS84 using open-source tools

I would like to work with some of the Michigan state data (for example, this shapefile of cities ), but it is not in a common projection. However, when I try to reproject the file using ogr2ogr and any one of the possible EPSG codes, I get a map that is anywhere from rotated & skewed to flat:

ogr2ogr -s_srs EPSG:102121 -t_srs EPSG:4326 city_mi_84.shp city_mi.shp 

Any suggestions on how I can make this work? I don't have access to Arc at the moment.