The people of Abu Dhabi place a large emphasis on family and community and the commitment to the layout of the city shows this. During the nicer weather, it's common to see the parks and beaches filled with large family gatherings cooking out and enjoying each other's company.
In addition, there are any number of activities and events targeted towards families and children. During the Formula One Races, they set up a huge screen and show movies on the beach. WOMAD is a great event for families as were the Football Village and and F1 Fan Zone during the Soccer Club World Cup and the Formula One races.
There are a number of organized sports leagues for kids. Ice hockey and Australian rules football are just two of them, but I know people who send their kids to tennis, ballet, and karate lessons. Abu Dhabi is a safe place for children and a great place to raise a family. I have to say that the family friendly atmosphere of Abu Dhabi is one of its greatest strengths.