I agree and I'm also curious how someone would integrate all the React ecosystem into an already exiting app (Rails specifically). Starting a new project is easy, rewriting one is a huge challenge.
There's a pretty complete tutorial, but it's a bit out of date + uses CoffeeScript rather than JSX - I made a copy of the original, with updates, for one of my colleagues, the gist is here (sorry, might be a little rough): https://gist.github.com/DanCouper/b6953544a34606617eb5
To get a bit deeper, there's React on Rails[2], which retains the same entry point, but moves all the JS to a separate folder at root, and uses Node to handle that side of things during development. The setup is batteries included, and pretty flexible, but I haven't used it a huge amount so can't give much detailed feedback.