salt/pepper mills  

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I'm pretty sure those crazy Danes have all the same tableware and utensils and kitchen things that "we" have, right? Do you mean something from a specific manufacturer?

Dansk
Probably referring to Dansk JHQ pepper mills and the like. I haven't seen any sets are both salt and pepper mills, but you could just get duplicate pepper mills and not use the salt shaker part.

Yes, referring to the Dansk...
Yes, referring to the Dansk salt/pepper mills. I had thought about purchasing separate ones but thought I would first ask if perhaps Dansk or another company might make teak salt mills/pepper mill instead of just pepper mill/salt shaker combos.

I use
Peugeot. The salt mill is for fleur de sel. The pepper mill is for peppercorns. The grinders inside are made by the car company and they continue to work for decades, even if you have guests that grind them "left-right, right-left" which is not really cool.

Never put salt in a pepper mill
It will rust. Usually pepper mill are not made out of stainless steel or ceramics since pepper will not absorb water as much as salt. This is especially true with the Peugeot (you can see that they aren't warranted against rust).
Also, contrary to pepper which will loose its taste once milled, keeping the salt as crystal has no effect on taste preservation. You could just grind it months before and use from the shaker.

Is there some reason to grind salt
at point of use? I've never understood this. You grind pepper because freshly ground pepper has so much more flavor than pepper that was ground weeks or months or years earlier. But salt is salt, as stated above.
I like those wooden salt cellars with pivot lids. Nothing to corrode or rust. But then, I'm fine with it not matching the pepper grinder.

Grinding salt
It's just fun. 🙂
Edit: Good points by roth.

A small tangent,
... but might I recommend Salt, A World History, by Mark Kurlansky, for anyone looking for a good book. While it may sound extremely boring, it is quite an insightful read for those who are interested in both world history and food history.

Here's
a fun salt shaker of mine.

Not Dansk, but danish -...
Not Dansk, but danish - Nissen made matched grinders for both salt and pepper. These are what I use in my kitchen.