I daresay that if your childcare centre only offered a 11am to 7pm slot then your work schedule would shift accordingly. And why wouldn't a child care institution offer split shifts like this? It would cater for people who have long commutes or actual shift work. I know employment contracts, overtime rates and EBAs/Government legislation comes into play - but all these are things that have to be reconsidered in light of modern workforce practices.
While it would be nice if there was slightly later childcare and work to shift peak hour, I don't really think it will work.
I've posted elsewhere here that my business tries to cater for this, by allowing earlier start time and/or reduced hours for parents who want to be home for their kids, or collect them and take them home themselves.
Must admit I find it strange that social implications like this aren't more of a focus in modern society. Surely we can make the whole working/school cycle more effective?