“On the same token if someone says he is Christian, they will count his Jewish wife and children — all halachic Jews — as NON-Jewish, thus reducing the true count.”
This statement is not true. These are demographers for secular Jewish organizations who create the criteria for the greatest possible count for political purposes and also to increase the size and proportion of non-Orthodox “Jews”.
charliehall – You are very correct and remember a relatively large proportion of these children, while they do attend Orthodox affiliated schools, do not follow Orthodox practice and neither do their families.