That was always my impression too. I have had converstations with Catholics, Jews, Hindus, and one Muslim about their dietary habits and all have claimed to me that they don't expect others to follow their guidelines. Seriously, I have yet to meet someone (except those insufferable agnostic vegetarians) who goes around telling others, outside their own faiths, what to eat.
Also, Chick-fil-a is not specifically mentioned in Leviticus, and probably suggests simple lack of good taste, rather than a sinful, lustful lifestyle