I'd love to see another TV series like that, but with all those things it wouldn't have any resemblance to Star Trek. So why call it Trek?
At the very least you need aliens and space exploration. You could scale back the convenience of the the technology, make the demeanor more formal. The for it to be Star Trek the root of the show would have to be humanity going out and dealing with aliens. It could bring the idea of humanity constantly improving itself into tighter scrutiny and make the aliens a bit more utilitarian in dealing with Earth, of course.