It would be nonsensical to "eliminate" faith schools. What needs to go is the indoctrination. Why, they'd probably be even better schools without it as they'd be spending more time on education. The issue of parental choice is separate once you take that out the equation. The inequities would certainly not go away simply by taking religion out of schools without an overhaul of the system, as you've pointed out. But that's probably for another thread. For me, getting rid of religion from schools is a matter of principle. Schools are not there to peddle mythology as truth to children.