It will be a non-issue with stabilized woods.
With hard, oily woods such as ironwood that do not benefit from stabilization, I would expect washing with a bleach solution to be sufficient for sanitation. I would follow that up with a thick coat of mineral oil and some light buffing.
I have a cutting board in walnut that is routinely washed with soap and water, followed by buffing with salt and vinegar, and periodically washed with bleach. After drying and oiling it retains its natural color.
I would avoid isopropyl alcohol on non-stabilized oily woods, or those treated with polyurethane.
In general, the woods do not need much special care. I would avoid excessive oiling on these materials, as well as on mammoth ivory or bone, due to concerns of swelling.
The wood on your CS MSE is dyed and stabilized and should behave much like any other phenolic.