Currently there are 9 native SuperZoom lenses for Canon 1D X II and all of these lenses are autofocus (AF) type.
Canon 1D X II doesn't have a sensor based image stabilization system but 4 of these SuperZoom lenses features optical image stabilization.
Since Canon 1D X II has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 2 SuperZoom lenses with Weather Sealings.