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ArishMellThanks for what seems to me like an erudite exposition, please, tell me are you a Muslim, if not, then let us posit that you be a Muslim, and tell me what is the difference between Allah and God, okay!?
ArishMell · 70-79, M
You have answered your own question, but you could say much the same for any religion, not just the three Abrahamic ones; Hebrew/Judaism, Christianity and Islam, to put them in their historical order.
Really all apply to any major faith; not as "proof" but as rationale. Ways 1) and 3) are much the same, theologically, while 2) gives the faith's formal description. Similarly with the Asian religions based on their founders' writings, and generally older than the Middle Eastern ones.
Any religion is matter of personal belief in something that cannot be proven in reality however much you "reason" for it; and any religion is really only "true" to its own followers.
However, most religions extant or extinct, known or suggested by history and archaeology, essentially fulfil two or three basic human needs plus an almost-instinctive yearning for something "Above and Beyond". The difference is really in the detail, for these underlying points tend to be masked by the great variety of their deity/deities, constructions, systems and relationships between mankind and deity or deities. Or are ignored or derided by those vain enough to think their own is the only "true" faith, or even just sect.
If these were not so then there would not be so many religions and their sects now, if any, around the world. Within individual nations too, that host many faiths because they allow the personal freedom to choose. One aspect of this freedom is that the religions in such countries can and generally do co-exist peacefully and even co-operatively, to some extent.
The Abrahamic faiths are unusual in being very different from each other outwardly but following essentially the same god, called God or Allah, but defined in the 1st millenium BCE by the Ancient Hebrews whose predecessors were mainly Zoroastrian.
(Zorastrianism arose in Persia, now Iran, a major faith of its time but now very small, though still respected in Iran.)