You use the flux pattern instead of "2-way-bind". React is unidirectional flow, that's its organisational strength and coincidentally the main reason for choosing it and redux together.
You can use a package like redux-form for the particular question you asked, where all your input fields dispatch actions to a top-level redux store, and this data can be "connected" to from any component (using redux) to "bind" it.
React/redux work this way for everything. This is so that your actions (or "events") all pass through a central store where they can be dealt with. Then when the main store updates as a result, any connected components will re-render with new props if needed. It eliminates about a million race conditions, spaghetti and complicated chains in larger apps.