This happens in all MA organizations...the founder dies & his top students all vie for the leadership.
I would have been nice if prior to their passing, the Soke had spelled out his wishes but more specifically (to prevent fracturing) designated the leaders of their own factions (Midori Kyokushin, Matsui Kyokushin, Mori Kyokushin, etc.) in order to preserve the union of Kyokushin. In that way, all factions could continue to come together for Gasshuku, competitions or other events.