seeker
If bishops are to remain in the HofL then I would like to see representatives of other faiths, and of Atheist organisations as well. I think there is a good argument that the HofL shouldn't just consist of political appointees
However as far as faith schools are concerned - and especially as far as C of E schools are concerned - the situation isn't quite as many Atheists tend to portray it. None of the C of E schools I have known - quite a few - have been in the business of making converts. One even had a head teacher who was a Buddhist!
Compulsory RE is also, or should be, about studying many faiths in a non-evangelistic manner. If Christianity has a special place in the study, it is because it has had such in the history of this country, and so, for better or worse, has had a historic influence which e.g. Islam or Buddhism haven't. In a hundred years time - who knows?
As for compulsory "collective worship", if done badly, and it often is, it actually turns kids off religion. It certainly did in my case. Perhaps Atheists should encourage more "collective worship"!
A survey a few years ago showed that attending a C of E school made very little difference to the "faith" of young adults. In fact, in one category, so-called "Voluntary Controlled" schools, they were actually slightly less likely to be "believers".
C of E schools were started in the 19th century largely not as vehicles of "evangelism" but as a public service in areas which would not have had schools. They are still regarded in the C of E mainly in this way. Freeing the Church from this responsibility would actually be release from a burden, which, for better or worse, would enable more of its energies and finances to be directed into other spheres.
Would I support a move for the C of E to turn over all the schools to the state? Well, yes. But it would have to be done very carefully and gradually - and there are many legal barriers (people may have left land/legacies to a school). And, for whatever reason, Church schools tend on average to perform better academically. For the sake of the children involved, I wouldn't want to see these standards lowered in any transfer.
The same questions apply even more to Catholic, Jewish, and (growing number) Islamic schools - especially as, much more than C of E schools, they are meant specifically to cater for particular faith communities.