It depends on the faith, you see.
By which I DON'T mean that certain faiths are inherently good and therefore allowed to prosletyse, while other faiths are inherently bad and should be prevented from doing so.
No. I think we should examine what the faith (or the denomination or the specific branch/founder/order of the faith) has to say about education and simply judge on that.
Because the actual ethos of a faith school can very widely.
'We are followers of the faith of Pong. We believe that everyone is special and that Pong loves everyone. Our deity Pong is especially concerned to see children grow up into happy, fulfilled adults who can be a force for good in the world. As followers of Pong, we respect the followers of other faiths and seek to learn from them. We believe Pong loves everyone, no matter what they believe and we believe we are especially required by our faith to serve the poor and the needy.'
'We are followers of the faith of Ping. We believe that those who believe in Ping are special and should be given preferential treatment. Our deity Ping is most concerned to see children grow up into followers of Ping. As followers of Ping, we think all other faiths are at best misguided and at worse the worship of anti-Ping, and will treat them accordingly. We believe that we are here to serve the followers of Ping and those who aspire to join them.'
I reckon the school founded by Pongites might seek to be a caring school, willing to go out on a limb for disadvantaged kids, and would probably be a place where followers of all faiths would feel respected.
I reckon the school founded by Pingites might actually be quite a scary school, in danger of promoting their own faith at the expense of others and would probably be a place where intolerance lurked in the corners.