I had a 1D MK II from May 2004 until May 2007 and a 1D MK III from June 2007 until November 2010. I carried the MK II to Mexico, Galapagos, and Italy, the MK III to Costa Rica and most of the USA. I now have three bodies, 1D MK IV, 5D MK II, and 5D MK III.
Although I have had good luck with all of them, if I were to choose between the 1D models, I would really always go with the MK IV. That said, the 1D MK III, despite some early production problems, would be my choice over the 1D MK II. It was a bit faster in AF and the larger rear LCD screen was preferable to the earlier, smaller version. The battery life for the later model (MK III) was also quite noticeably better. Many of the accessories and the batteries for the MK III are interchangeable with the later MK IV which extends the usability somewhat.
My usage is pretty much the same as your listed uses. I have transferred the landscape duties over to the 5D bodies but anything involving action seems to call for the 1D body in my opinion.