Even cheap daycare (the kind you don't want your child to go to) is $1000/month, easily. Many couples are finding it less expensive to get an au pair if they have multiple kids.
But, you Europeans pay more in taxes. That is what most Americans seem to miss. Yes, in Europe (and Canada for instance) you pay way more in taxes, but you get more benefits too. In any event, the end take home pay is probably the same, so the joke is on us. The other major difference is that the US tax laws are really heavily favored for the wealthy. EU seems to be nicer to the middle class. But, that's a different topic, and not one that belongs on FISD.