FWIW, I recall an interview with Tarantino on YouTube somewhere in which Trek came up, and he was asked to name one of his favourite episodes.
To my surprise he named Yesterdays enterprise. He genuinely seemed to love it and remembered a lot of details about the plot. The other he mentioned is city on the edge of forever.
So while many might react to the idea of an R rated Tarantino Trek film negatively, I’d be quietly optimistic that he has good taste in Trek and would have a good core of a premise and story. I suspect he’d also handle the characters well, knowing how to balance campiness, seriousness and comedy.
It’s from 2015. Go to 3.47 for the relevant section. Interestingly, rewatching it, the prompt of the conversation was “what Star Wars movie would you like to do” and Tarantino responds with he’d rather do a Trek film.
And to further my point, he’s main point is that so many good episodes from Trek, especially the original series, could be made into movies.