With the 1 series, when using AI servo and all 45 AF points, the hand off to other af points only occurs after the initial focus lock from the center AF point is made on the subject.
I say this only as I am not sure if you are hoping the camera can AF and lock on a moving subject coming in from one side of the frame and then moving off to the other side, without any panning. You will not get the initial AF lock on a subject that is not under the center AF point to begin with.
You can force it to start with an off ceter AF point, but to do this you can't use all 45 points, you need to specify the off center point for initial AF, and then use custom functions to allow "expansion" to neighboring AF points> With Expansion, you can use any AF point as the initial point, however this limits you to only a few AF points for the hand off, not all 45, so again, not clear across the screen.
I assume this holds true even with the 7D's new AF features.