A lot of people - well, not that many proportionally, or historically, but a good few tens or even hundreds of thousands numerically - feel at home in it.
Leaving isn't an option, because it's where all your friends and colleagues are. So an attack of the schisms is unlikely to happen outside of communities that are insular enough to replace that sense of tribal participation.
The CoE controls no narrative spaces today, AFAIK. All they have is a tribe of people imprinted 30 years ago or more. And these congregations will eventually die off, not to be replaced. I can't see the core values dying off any time soon, since they are shared by many of the world's religions. What goes is the ritualistic behaviour. What remains is moral values of a certain limited kind, a sincere belief that there is something bigger than us (Well there probably is, but it is in no way anthropomorphic), and that 'life' doesn't stop when it dies. You can't be me, I'm taken