You're pretty much stuck going right to one of the giant dutch cargo bikes to carry kids and all their paraphernalia, and once you drop off your kid now you're riding a very slow very heavy bike that will take much longer to ride to your office and leave you much sweatier, especially since there's no flat easy bike infrastructure like the Netherlands.
I'm a long time cyclist and I've done stuff like take my kid to daycare in a Burley trailer and lock the trailer at the day care and then ride the bike to my office, then go and bike to the daycare and hook the Burley back up but this stuff takes a tremendous amount of time. It's a LOT harder than bike commuting as a single person with a more flexible schedule. Day cares/schools put a lot of requirements on when you drop off and when you pick up which make it much harder to shift your schedule around to make bike commuting work as well.
At what point is it just an electric motorcycle and should move to the road.
There's a wide range of electric bikes from just pedal assist, to some you can just cruise, no pedaling.
Speed difference between the normal bike rider and the electric bike rider introduces risks to using that bike infrastructure.
I've personally had electric bikes fly past me on mixed use trails, and I'm not a slow cyclist. I think it may be too easy to reach unsafe speeds.
It's odd to me that on trails where motorized vehicles aren't permitted, somehow electric bikes get a pass.
The only reason I don‘t own one is because outside of house and work there are few good secure locations to park a bike, and the area has a high rate of property crime.