there is a huge difference here between that and the central bank

the central bank is semi part of the state, AI Labs are not, AI Labs are fully under directly control of a extremely small number of people in a way which has nothing to do with democracy

founding a Organisation like the FCC but for AI oversight is a completely different topic, but that isn't what he is proposing

> Italy hand over the Vatican to the Church?

because it always had been a nano country under Church control, this is not comparable at all

> Church or Religious institutions.

most democracies have a separation of state and religion where religion has little to no governing power. When this isn't the case it's a failure of the state (often for historic reason). This isn't desirable at all.