"New evidence that middle-class parents are playing the system to get their children into church schools emerged last night prompting calls for the Government to put a halt to new faith schools.From what I have observed over at least 30 years, parents will send children to denominational schools even if they are not a member of that denomination. It isn't a new thing, at least in the United States. From this article, though, it seems that the denominational or parochial schools are a fairly recent phenomenon in Great Britain. These are predominantly Christian, although Jewish, Muslim, and Sikh schools are to be found.
A surge in late baptisms into the Roman Catholic Church is reported by researchers as part of a phenomenon known as the “Year-Five Epiphany.” The findings have reignited the debate about the place of religion in the school system and led to renewed criticism that faith schools favour the selection of middle-class pupils whose parents know how to play the system. ..."
This article, while mainly quoting members of Parliament and the government opposed to the concept of of faith-based education, also touches on the reasons why parents try to get their children into non-public schools. These reasons are similar to those given in the USA for choosing non-public schools.