We have a traditional kitchen but similar colors to yours---white Shaker perimeter and dark cherry island. Our perimeter counters are a dark green granite with a lot of "movement" and the island is a white guartzite called luce di luna. The quartzite is a real stone, slightly harder than granite I'm told but I'm not sure, and at least in our area a bit more expensive. It is, however, very calm and I could see it in a modern kitchen such as you describe. When we priced out granite, quartzite, and zodiaq we found the price difference for our kitchen was really rather negligible so we went with the granite and the quartzite but if the zodiaq---I think it was misty carrera that we were considering---had been much less we would have used that instead of the quartzite. HTH.

I think butcher block on the island with quartz on perimeter will look and function better. If you use waterlox for it, you cannot cut on it. But it will give it a nice protective furniture finish. If you want to cut on it you need to use mineral oil, which is less permanent but repairable. If you cut on it, you will see marks on it, but you can sand it and re-oil over time. You can also use an oil based finish for the more natural look but not cut on it. That what I would do. If you search here you will see discussions of waterlox versus oil versus other products like osmo for wood island tops. Breezygirl highly recommends an osmo product that I am going to use on my wood island counter once it's installed.

I just saw this quartzite the other day at the stone yard. Looks like this is the same one. If you get this for the island, then do the perimeter as well. I think if you try and do something different, but still white, it's going to look off. (unless you do a plain white quartz) . Do a quartz that looks like marble, is not going to work, IMO. They are just two different looks. Do them all the same, or do a dark, solid contrast. Now, if you wanted to do a soapstone, I'd say fine. that would actually look nice. look at this pic to get an idea (different island, but same premise). it's not going to make things look dark if you went w/a soapstone or even a honed Jet Mist granite. Cielo is a quartzite that you may want to consider as well. this one is leathered.

Search for some of @KarinMT's posts - she is a geologist and has written quite a bit about quartzites vs. marbles and Super White in particular. Here is one of her published articles " What about Super White? Super White is one of the stones that is frequently caught in the quartzite vs. marble mystery. Most commonly, Super White is dolomitic marble. That means it won’t scratch glass and it will etch with acids. Some Super White has minor amounts of quartz mixed in with the marble. But the rock is still marble and will act like marble. When doing the glass test with Super White, be sure to test a few different areas to get a sense for the overall rock. Is it all the same? Or are there some parts that are harder or softer?" Be absolutely sure to test several areas of the slab(s) in question and understand you have a marble.