Anyway, Smooth has the right idea. You run it like any coin/token distribution where all the coins start in the depository wallet.
In regards to token types, the absolute fairest way is to have the currency and ownership amounts based on current M. Current M distribution has a backlog of embedded currency and ownership value from CON, "old" CK, and so on. Please, don't make this confusing/stupid and go with gold or anything. And I own a lot more gold as a % of total gold than M as a % of total M, so I'm shooting myself in the foot here, but really M makes sense as the base.
To illustrate, if someone owns 1% of M right now, they will own 1% of CKM (money/currency) and 1% of CKO (ownership). Once the CKM and CKO distributions are done to the depository wallet and accounts, you delete M.
Let's just call it CK as per the Bounty's stipulations.