to whom do they sell?
They engineered a buy-out for stability, but I seriously doubt that either government wants to remain quasi-socialist owners of the firms that represent 'market forces.' I imagine they will hold their shares until (or if) the banks do recover, and then look to unload their shares.
I expect they'll engineer a big one-time sweetheart deal a few years from now to to an institution who will see the real windfall.
I don't think these governments (US in particular) want to see this as a fundamental shift away from how the markets operate. Strictly a stability move. Once stable, it'll be back to a similar philosophy.