Yes, your children would be very welcome.
Great! Glad to hear it. I am licking my pencil right now and will submit an application asap.
No, they would not have the same chance of entering the school as a child of the same faith or other faith.
hmmmm, wait a sec. that doesn't sound very welcoming to me.
Do you have an issue with the idea that children who live within, say, 1 mile of a school have a better chance of getting in that children who live 2 miles away? Or do you think the lottery thing is the way forward
as you are aware, schools have a certain capacity. while it's not a perfect way to decide who gets in, you do need some way to decide, and distance is a reasonable way in theory. There is nothing inherently wrong with distance (it works fine in other countries), it's that practically people game the system and it can be abused. In a perfect world distance would be a fine way.
There is no world in which discrimination based on religion is acceptable. In fact, protection against discrimination based on religion is a pretty solid british value. in almost no other sphere of life here can you discriminate based on religion. it is a protected characteristic, unlike distance.
Or do you think the lottery thing is the way forward - if so, are you prepared to accept your child may only get into a school on the other side of town,
you could easily have lotteries in London. Say distance makes it more likely, but it's not deterministic. Given that people live within walking distance of 8 schools, it could easily work.
but this answers the question of why distance is used in the first place: it's practical.