I think it's possible to do a political show within a sci-fi/fantasy setting - some of the best parts of Game of Thrones reflect this, for example.One of the things that made The West Wing work was how it resonated with real world politics. In a science fiction setting of the future, the way in which this can happen is fundamentally different.
I get it that TWW+ST is an elevator pitch, but I there has to be more to it on a fundamental level, since the ideas don't naturally fuse. It might still be workable, but it would require top-level writing.
But yes, you need the writing to be on point. If it's not, you get some of the worst parts of Game of Thrones.