I would suspect that it is a blend of reasons...
A lack of AT&T partner in the area, complexities regarding book copywrites and US bans on technology transfer all play a part.
For example, I know here in Israel Amazon (and most US companies) cannot ship any technology directly to consumers. That includes such things as DVDs. It may be a political question, a legal question, a free trade question or something else, it doesn't really matter.
Long and short is that the list of countries they do not ship Kindles to is not an anti-Muslim bias, or at least not unique to Muslims.
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