I have to partly disagree with you here. Religion does play it's part.
Italians, Spaniards, the Balkans also have that same mentality and in the middle ages, when religion was so strong in these parts, that girl would have suffered the same way she's going to suffer now in an Arab country.
But today even the hot blooded Spaniards, Serbs and Greeks would not do anything bad to her. They will do what you suggested should be done.
So, it's certainly not about the rash, hot blooded mentality.