Then why did the writers push Discovery into the 32nd century?
Its precisely to give way to something new/fresh.
Besides, Trek should be able to prompt people to THINK... meaning, setting things closer to home won't really do that because you end up repeating things ad-nauesum.
Its about broadening people's minds on technology and science as much as it is for changes on a social level and help them to envision a brighter tomorrow, not just far into the future, but also TODAY.
What was it that Carl Sagan said?
"“We have designed our civilization based on science and technology and at the same time arranged things so that almost no one understands anything at all about science and technology. This is a clear prescription for disaster”.
Why not make 32nd century Trek go beyond what current Trek did?
It can still contain usual Scifi stuff people are accustomed to... but done differently... more in line with the Federation actual technical and scientific potential brought forth (as much as its currently possible to stretch our imaginations).
Even what I described would likely be invalidated in a short time from now... but at the very least, I've tried to stretch past what we saw and into something that a combination of societies with the technologies they have could actually accomplish in a small time frame.
Heck, I did mention that a lot of the stuff we saw in terms of technology from the 32nd century should have already been a thing in the 24th and 25th... with the 32nd century being on a whole different playing field.