I don't think it's necessarily Islam that's inflexible. There are places and communities practising Islam in very different ways across the globe. Some communities have a much more secular approach to Islam, some are culturally more inclined towards greater parity between the sexes than others. The inflexibility comes in with the interpretation of Islam. Certain interpretations of Islam render it (to the western way of thinking) inflexible and less able to fit a 'modern' way of life.
There are interpretations of Christianity, Hinduism, Sikhism and Judaism which, to my mind, seem inflexible and archaic in their precepts, including in their attitudes to females and homosexuality, dietary requirements, clothing requirements and so forth.
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