No, Israel isn't trying to kill children. It's just not trying too hard not to kill them.

Much the same as Hamas with their rockets, but on a much much larger scale, not because Hamas is less ruthless or Israel more ruthless, but because that's how the firepower is distributed.

There really isn't too much difference between the two sides when it comes to willingness to cause suffering and death among civilians as a way of achieving political goals. Which is a definition of terrorism. Not because they are particularly wicked, it's a way of thinking grounded on historical circumstances. A self destructive way of thinking.
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The suggestion that the expulsion of Jews from other countries in the Middle East retrospectively justified the forced exile of Arabs from what became Israel is pretty suspect. Turn it around, and it seems to imply that the expulsion of those Jewish populations was justified by what had happened in Israel.

More honest to recognise that both these actions were criminal - another example of how "there really isn't too much difference between the two sides when it comes to willingness to cause suffering and death among civilians as a way of achieving political goals."