But, I think it is much simpler: he's an establishment, status-quo insider who will say whatever he thinks will help him get elected. A slimy, lying, panderer--until he's elected. Then its off to the plunder.
I do like your analytic skills at dissassembling his stance, though. Keep it up. The obvious point is that Gingrich spouted all that nonsense without thinking it through--because getting it right and being sincere wasn't his purpose in saying it.
For anybody who wants to know more about Gingrich, just hunt up the YouTube videos on him. His whole slimy, ethics-violating past is captured in news video from the '90s.