We already have a transport protocol that "everybody" agrees on: HTTP. We can define a specification for a subset of it, and a subset of HTML/browser features we want, create tools around them, and form a small community.
The advantage here is that the community is not an island. Users of Big Browser can still read your latest rants. They can even learn about this project and, while perhaps not using Mom-and-Pop browser, may support it in their sites, since it wouldn't require another server; mostly just having their site work without JavaScript would be a huge step forward. Right, you don't have Google filtering based on Accessibility. The community can create a search engine that does. Now what? You just get on with your life, producing and consuming AccessibleWeb content without the gratuitous incompatibility.