Peter Braun Cordova prefers stateless api so you will most likely will need to make adjustment in current api to return you some stuff.
The way we do things on native - using browser redirects etc. made this non trivial work. I just could not do it in the limited time I had and fact that modifications may be needed for cordova meant that we will end up with separate codebase for that. Then most likely we will need separate codebase for React Native - that will be the worst case scenario.