A few quibbles.

Generally Christianity is identified as "orthodoxic" while Judaism and Islam are "orthopraxic" --- what one "believes" identifies one as a Catholic, or a Lutheran, or a Methodist, etc. Contrast with Judaic and Islamic focus on a set of religious "laws" or "rules" prescribing proper social behavior --- the focus is on how one practices the faith in daily life, not so much on whether or not one buys into the totality of what is preached at the masjid. Obviously there are a ton of shadings into one another --- every religion has basic proscriptions which must be followed in order to be regarded as a proper follower, while every religion also has certain core beliefs.

I also have difficulties finding much mysticism in Islam outside of Sufism. Indeed, mysticism has been a far greater part of the Christian tradition (especially Catholic and Orthodox varieties, and with certain "ecstatic" Protestant traditions) than ever in Islam.