Why even bother to call it Star Trek if you're redoing everything? That's just borrowing a famous name and riding its coattails. As for a "reclusive" Federation that doesn't want to go anywhere... it's a pretty big part of space. Are you saying that nobody goes beyond the Federation boundaries, or nobody goes much of anywhere within the Federation itself?
What? It's still Star Trek. By this logic, why call the New Doctor Who, Doctor Who? What I was describing is no different than the Time War, or setting TNG nearly a century after TOS. It would be the backdrop to establish a new world and to get the show off on the right foot for new and old audiences. Without having to do a hard reboot or to go into an alternate reality. It would creatively free the writers to do whatever they want, as they would have a hundred years between them and previous continuity, they could reinvent anything in anyway they saw fit. You want to turn the Klingons into a race of mystics who have turned away from their violent warrior culture? Go ahead, you have a hundred years to establish why that could have happened, and give the show an entirely new future-history.

That's just one example, of course. You could do anything you wanted.
All the key races are there. Time and devastation have changed them dramatically enough that a sense of surprise and mystery is in the air when our heroes go out to meet them again. The old can still be referenced, but the audience does not need to be in the know about 50+ years of Trek canon to understand things.
Reclusive in the sense that Starfleet, the defensive and exploratory arm of the Federation, does not venture much further beyond patrolling the Federation borders and policing Federation planets. That the cataclysmic events (whatever they were) may have even been the fault of Starfleet itself, and as a result the modus operandi was changed from deep space penetration and exploration to defending our own borders.
Regarding ENTERPRISE and the FUTURE:
I only ever had an issue with introducing major/key player races that we never heard of before especially when there were entire species barely explored since TOS (like the Andorians/Tellarites/Vulcans)
There were unneeded changes made to old ones. IE the stupid bumpy foreheads given to the Andorians. If someone wants to say they needed it then I shall raise you the entire Orion Race. The Andorians had blue skin and antennae. I was able to catch that they were aliens based on those two facts.
Beyond that it was the mediocre-to-terrible writing. Enterprise had some good moments, but it had mostly bad ones. If the show had started with the identity present in season 4, or had started off with a mysterious attack on Vulcan via the secretive Romulans, and immediately we were seeing how this effected the young space-fairing Earth society and it's soon-to-be-allies, that would have been more compelling. The first two seasons are primarily meandering around stories we've had told to us in each preceding series and often to better effect.
The biggest problem for Enterprise is that the writers were running dry creatively, and the show itself lacked a really solid identity.
Let's look at the first episode to feature the Andorians. They utterly ruin their reveal. There is no build up. Just "TA DA." They try to have some build up to it when Archer, Trip, and T'pol show up, but we already saw the Andorians in the teaser. There's no sense of mystery. I would have had the teaser start with Archer and Trip talking, and then they pick up a distress call from P'jem. There are no Vulcan ships in the area so they set a course. When they arrive things seem to be normal, and then you reveal the Andorians in bits and pieces. (A shadow, a fuzzy reflection, until finally we see them in full.)
For a new show the writers need to have a good reservoir of creative energy ready to unleash. There needs to be thought put into the plotting. Not just the outline, story, or "general idea." Things need to be handled to give us maximum excitement, drama, mystery, and intrigue. Being as pedestrian as the latter days of Voyager, and the majority of Enterprise just will not cut it, imo.