If it's not an economical proposition, involving the government surely can't help.
The issue is that folks want a very high caregiver/child ration, for what is essentially unskilled labour (any non-pathological adolescent or adult can take care of children acceptably). So the supply of workers (i.e., just about everyone) vastly outstrips the demand.
Why not just go back to single-earner households and extended families?