I dont have any children yet, but when I do I will not hesitant for an instant to fly in F or J with them should I choose too.Of course it goes without saying that the children should be very much aware of the space around them and behave accordingly.
Maybe it would help for some people to remember that all they are paying for anywhere on the plane is their seat, NOT the cabin. If you want some sort of control over who should sit in the same cabin with you, I'm afraid you'll have to look into something like...www.netjets.com