With the overlap, as you've said, do you think the current structure could have an extra pillar or two built within it? Could CIMVHR have special chairs or something?
My concern is that when there is such overlap, although there are differences too, do you redesign something from scratch? There's a great organization doing a lot of parallel work, and maybe with some specific new expertise or an embedded joint venture or something, the trail-blazing work you have done could help with a head start.