No. The BSD+Patents license says that Facebook grants you a license to not only the software, but any potential patents they might have around React. _If_ you were to sue Facebook for something patent-related _first_, then you would lose the patents protection, but not the license to actually use the React software. Facebook has already granted you the license to use React in general, and can't/won't just "revoke access if they want".

I have a large number of links to further information and discussion on the topic at https://github.com/markerikson/react-redux-links/blob/master... .