so in theory, with advanced computers, we could live in a star trek universe, albeit a simulated one, which would coincidentally mark our current universe out as a simulation too.
I think scientific progress is exponentially "sprinting," while warp tech is not a certainty ,there is a model right now which doesn't require more energy than the net total of the universe. With more theoretical and experimental discoveries I believe there will be a way to figure out ftl, possibly within 400 years. I also believe that humanity has become more peaceful, educated and enlightened compared to say 700 years ago. Remember the trek universe still has bigotry, hatred, violence and so forth but the social conditions are different to the extent that people don't get away with these things as much. So while the trek uni may never be totally achievable the ideal should persuade people to strive for something aproximating its positivity.