Ah, but the Mark II is, right?
What about a Mark IIn?
1D Mark II is also a 1.3x crop. Only bodies with "1Ds" in the 1D series are full frame.
1D Mark IIn is almost the exact same as the non-n. They added a slightly larger screen, picture styles, enhanced the dual-card write system, and enlarged the RAW buffer by about 2 frames. Other then those and maybe another small detail that has slipped my mind, they are the exact same camera.