They're not blowing themselves up for Allah. Some of them may invoke the name of Allah when they blow themselves up, but the reason they blow themselves up is to secure their freedom.

On the radio a few months ago, I heard an interview with someone who wrote a book about research he did on the reasons there are suicide bombers. He was able to establish that suicide bombing is pretty much always done by people whose countries are under occupation by a foriegn power.

Lastly, at least one Palestinian suicide bomber was a Christian. So she most definitely was not even invoking the name of Allah when she blew herself up.