I think I've heard before that Alibre doesn't like to have curve objects in some file types that it imports, so it may help to get just the one surface/solid piece that you want to transfer in the file and not have anything else in it.

One way to do that is to select the thing you want, and then use File > Export from MoI - Export in MoI only writes the selected objects to the file, unlike "Save As" which writes everything to the file.

- Michael