I understand the feeling that it seems strange to manage all state, no matter how small, in a large global state. However, every now and then I'll work with a designer or UX person who will connect seemingly unrelated elements in a powerful way, and I'll realize how freeing the global state becomes. The potential to easily explore new relationships between UI elements is wonderful.

Edit: Also, I should mention that taking advantage of the great middleware options for isolating side effects makes redux a treat to work with. I am using redux-observables, but I have heard great things about redux-sagas as well.