I'm not sure I get the obsession with wanting to send kids to faith schools.
It's usually about getting a good school rather than a religious one.
DD and nursery friends are going to four different local schools, despite every parent having the same order of preferences about which school they wanted to go to, based on how good they are perceived to be. The different outcomes are mostly to do with different parents abilities and dedication in playing the system of religious discrimnation. It makes me a bit sad to see friends being split up and potentially being sent on a different path in life by religious discrimination at the age of 4.
Friend 1 is the only one who got into the best school, an outstanding rated CoE with spending per year per child 50% higher than other local schools (partly due to an ancient charity supplementing government funding.) DW was angling for this school by attending the qualifying church, but didn't read the rules closely enough to understand that she would have had to start attending when DD was 1.5 for her attendance to make any difference.
Friend 2 was the only one to get into the second-choice school, a Catholic one where non-catholic Christians (and not looked-after etc.) were something like the 11th category that would be considered. (Muslims, who are the majority here, would be even further down.)
DD got into 3rd choice school, a CoE, but only because DW church attendance got her preference over others.
Friend 3 was a child of immigrant parents who I think didn't understand the system, only specified the same top three schools that everyone else was choosing, and did not get any of their choices initially. They eventually got allocated to a school that was not in anyone's top 6.
There was only one school on our list that didn't discriminate on religious grounds, it was our sixth choice. (Neither DW nor I are actually Christians, but DW was willing to pretend to be.)