I don't know if this has been said already, but personally I think muslims would complete reject and deny everything that a time machine would and could present, purely because they believe only their omnipresent Allah is capable of knowing things beyond human power and a time machine would probably be considered shirk.
Maybe it'll shake up some home truths of religion, but I don't think anyone would truly abandon their relgion, after all they've spend their whole lives devoted to this supernatural being, it's a lot of emotional investment that is really difficult to let go off.
Meh, anyway just my two cents.