My wife and I cruised on Indepenence of the Seas last year and again this year. Although there are a lot of children, they do not overrun the ship, and it is easy to find areas that are child free. There are a lot or organised activities for the children which keeps them tucked away. We are both retired and enjoy peace and quiet and will probably go on this ship again.
You have to appreciate just how big this ship is. There is plenty of room for all.