I like the ships.
Aliens are hit and miss and often are aliens of the week (save for Cardassians, Bajorans and Klingons).
But none of that engages me beyond "Oh, pretty." TOS offers me a more wild west type feel out there, and Kelvin universe is nearly untapped for a full drama in that same period. Easily set it on Yorktown Station with a new commander, and Admiral Kirk occasionally popping in as they make first contact with those aliens out on the frontier, and work on new alliances, and discover new dangers. I would not want familiar ships or aliens but something relatively new or reimaged from a new species.
Yes, that's generic enough to get in to the TNG era but even if they did 80+ years after Kelvin Kirk I would hope (and really pray) that the ships would not look the same, as the pressures would be different, the power balance will be different, and new players might rise up.
I think you're idea can work, but tbh I'm not really as into the wild west aspect as much. Even though I think TOS is far better than DSC or Picard, I still the latter 2 are more expensive because of the serialized storytelling. I love Kirk, Spock and McCoy as the best ST trio but I also like seeing everyone else get fleshed out. And DS9 with its stationary storyline gives a different wild west feel tos or tng couldn't. There's just more variety already built in