Can you help me to understand your meaning of "secular" here? My counterpoint that will explain: Many Persian Jews left during/after the revolution and moved to Los Angeles. Many of those families are practicing Jews. I would not describe people like this as "secular"; I would call them "religious". Do I misunderstand your point?
Note that the quote referred to people who left more recently and thus lived most if not all of their lives after the Islamic revolution. Quite often they'll drink beer or have their pizzas with ham just fine, women would not wear a hijab, and so on.