yes, and they should be different. White quartz for the bar sounds great!

you didn't say what you'd be doing to the wall. eliminate the 'curb' GFI for a blender outlet, etc.

I'd tile all the way to the ceiling, do some glass shelves (with lighting to enhance glassware, etc.)

stainless tray, ice bucket, etc. Beautiful kitchen...

I'd try dying and staining the stone medallion (and wall) to tone it down before removing it... have it be a texture lit from above instead of being so graphic. A pewter-y burnish to it would be amazing. Put some effort into that bar and it could be really great. Make it it's own thing.

That fancy wall needs to go for sure it does not work at with what I can see and for sure not with white quartz .

What did you end up doing? I am also looking to do separate stone in kitchen and bar area

sure, why not. get away from all that grey might be an idea.