So she most definitely was not even invoking the name of Allah. Well, she might well have been, actually, since she'd have been speaking Arabic - "Allah" is the word for God in Arabic. One God, Muslim, Christian or Jewish. As evidenced in Arabic translations of the Bible. New Testament or Old Testament
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Killing civilians, as a way of trying to achieve some kind of "point", is of course a very common thing to do in many conflicts. It's a horrible thing, whether it is done using tanks or missiles or bombs. In most wars the number of civilians killed is far higher than the number of military.

There are many precedents for suicide missions as well involving Christians and Jews.

Supposedly civilised and intelligent people do these things. Perhaps sometimes they are not really sane. And perhaps sometimes they are what is called "sane". However, what they do is itself insane. But I can't see that it becomes any saner, just because the perpetrator might make sure to stay out of harm's way.