Woman: "I can wear what I want. It's my right."
The woman is right. Would Customer #1 have said the same thing to a Jew wearing a yarmulke, or a Sikh wearing a turban?
That's true. But that's not to say that there is any kind of moral equivalency between Judaism and Mohammedanism. Moreover, the woman's statement is ironic because in Mohammedan society Jews and Christians are subject to "dhimini" or second-class status. Believers in other religions may be treated worse.
The question of whether a society like ours can tolerate a religion that doesn't tolerate other religions is no longer an academic question.