"I am personally not in favour of using a crescent as the symbol for Islam because of this:(...)"
That doesn't say that the crescent is not a symbol of Islam, though, only that early rulers tried to avoid using it. It is still a commonly known symbol of Islam, and even at that time it was probably more used than any other single symbol.
I like your suggestion a lot, but I doubt it will work in such a small icon size.
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