A few hundred years in the future is a good idea. Still, you have some major things to explain away without outright invalidating peoples' ME3 decisions.
Spoilers just in case:
- One person has the Quarians exterminated, one has the Geth destroyed, another has life and AI united
- One has peaceful cured Krogan, one has them at the edge of extinction, another has them swarming the galaxy with a cure and under Wreav's violent leadership
- One apparently has Reaper wreckage everywhere, another has them leave, and another united them with all organics to preserve the memory of all prior life forms
You can explain away a few of those things but not all.
Now maybe this is ONLY a sequel to the Destroy route (and, say, my Control ending ended right there), but even then you have some serious hoops to jump through regarding Krogan and Quarians.