I've also been looking for a good solution to this for a while, but sadly it seems like it's just not possible yet.
Here's a good explanation from the developers of a Mixpanel SDK for React Native: https://github.com/davodesign84/react-native-mixpanel/issues/36
The good news is that this is something that we are currently working on!
To add your feedback to our roadmap, I encourage you to please submit an Idea with the specific features or reasons why a Mixpanel React Native SDK would help you. From there we can submit a custom Product Gap on your behalf — we love hearing all of the details about your specific use-cases.
(@hhalvi - Since you added additional detail about the features that you want to use, I went ahead and created an idea + submitted a product gap for you already! Linked here.)
In the meantime, these are our recommendations for opensource versions until ours is ready:
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