No personal experience, but I'd say swap the LSD into the new box. Much easier than trying to change up a whole gear set. Depending on age and quality of the E52, you may not need to do syncros/bearings, although new gaskets may be a good idea. By doing this you avoid any compatability issues with trying to make gears fit into a different box too.
Eagerly await someone with some practical knowledge to back me up/shoot me down in a ball of flames.
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