Some more trial and error shows that if I save the AutoCAD dwg file with the profile saved as a region, which allows me to run MASSPROP and find the Centroid. I then move the profile so the centroid ends up at 0,0. Save the file and then import it into Inventor 2012. The part ends up right where I want it with the centroid being on the origin. Now to extrude it and apply some machining to see how the rest of this works.
J.D. will kill me because I haven't yet figured out how to make the constraints using this method. But who has time for details, we just need to get toner on paper as quickly as possible. Damn the torpedoes and full speed ahead.