You must have noticed on FB that they keep pooping the names of your friend's friend who are not in your friends list of FB.

So if one of your friend is a member of QL on FB, his friends will be able to see your profile. You can restrict your info. to be displaced to strangers but you cannot hide your profile pic and the name (the name you use in FB)
Anyone can see it.

On FB it is very difficult to hide your identity unless you change your name and profile pic.