Hm... Asymmetrical uniforms.... like the TMP era uniform?
The thing about the TOS design that looks out of place is it goes against ILM model making tradition of lots of greebles. Jefferies was deliberately going for a smooth exterior. When you examine what that means, it is actually one of the most advanced designs. That it does't scream future to people is because the design has been around for over 50 years. it isn't because it isn't a good design or a futuristic design. it is because it is too simple. The Defiant in In A Mirror Darkly dealt with some of those by giving the hull aztecing and other detailing that brought it closer to the TMP and NX designs. I find the Discovery ship designs to be following Star Wars too close rather than being their own thing. I think mandating no cylindrical nacelles to be a mistake. It should be mixed. There should be different nacelles designs. Mike Minor proposed a rounded version of what they used in Discovery, so it really isn't a new idea. the 4 nacelle designs look like the Excelsior test models. Some of the designs are pretty cool, but they really belong in a post Voyager world, not a just-prior-to-TOS world. NX and TOS Enterprise have the same basic nacelle design, as did the Aurora in TOS and some other ships in TAS. So mandating no cylindrical nacelles goes against Trek history and was a really dumb idea. Some of the ship designs are cool, some are pretty stupid. The kitbashers of the DS9 ere were more creative.
The various fan reimaginings of the TOS Enterprise have shown the design is sound and can be roughed up to look more modern without actually changing the design. And I don't think there is anything wrong with the original design, untouched if it is lit like a modern model.
They have a slightly different aesthetic, but it is still pretty much the same design. They roughed up the hull surface, but didn't really add too many more details. The neck is shorter and the pylons are swept back and merge into the hull differently, but there isn't much difference. And in case you are wondering, that IS the TOS Enterprise from the Smithsonian following the 2015 restoration. I added the inner grille lighting and used the same fuzzy glow to the lighting.
Star Trek has always had a smoother design than Star Wars. Nothing wrong with that. Nothing antiquated about it. Only the impression that this model is 50 years old takes away from any futuristic aspect to it. It isn't the design itself. The design is sound and if rendered in a modern way can look modern. So it is only the impression of age that works against it. Add a few tweaks and it can feel very modern. The beauty of Jefferies very futuristic design.