This whole shebang has nothing to do with React itself, or the "technology" that React uses or anything, but more about the way many FB's open source libraries are licensed, one of which is React.
The license specify that you are free to use React as you would use a BSD licensed software, provided that you never sue FB for a patent. That means, if you use React, and you happen to own a patent for something that FB utilises, you can't sue FB without losing your React license. So, your option is either suck it up and let FB use your patented thing for free, or rewrite your software to take React out of it, and then proceed with the lawsuit.