This is cool. I feel like it's more interesting and practical to apply Redux to game development instead of React though. Redux's "Time Travel" idea is really neat - I want to see something like React that acts as a view layer and uses Redux to model game state.
I've been playing around with some ideas like this. It's hard, as most graphics APIs usually have their own concept of bindings and state to maintain. As an example you create a binding to a vertex buffer, and then you need to maintain that over multiple draw calls. It's maybe similar to React maintaining DOM nodes, but the data involved is a lot more complex. I feel like a lot of the work is building abstractions (or the right models) to be able to handle those aspects of graphics programming in a functional and reactive way.