Bad reasoning.
IT DOES NOT MATTER whether or not the Hamas families care about their children.
What matters is that Hamas has declared war, bragged about "opening the gates of Hell", and is quite vocal about their plans over the nation of Israel should they be granted victory in their war.
So...
Hamas has to be defeated. They have to be brought to unconditional surrender, where they VOLUNTARILY and WILLINGLY accept whatever terms Israel wishes to impose, permanently, or, eventually, they will win their war.
I'm quite sure that Japanese families cared about the infants and children in Hiroshima and Nagasaki who vanished in the blink of an eye. Ditto the German families of Hamburg and Dresden for the children who vanished into the firestorms.
"War" is the game Hamas wants to play. By refusing, Israel has done nothing but guarantee Hamas' victory.
You are correct that Israel should do what America did in WWII; however, I am thinking of the media and a snappy answer when the enemedia comes calling. We need snappy answers to the smears of the Left until we can explain to people that a slogan is not an argument.