Also remember all your local services are done by employees that have to pay rent too, and businesses have to pay rent (that one actually is tax deductible).
These days, I visit Seattle and Spokane a lot. Seattle is of course, a lot more expensive than Spokane, or it is supposed to be. But restaurants are much more expensive in Spokane than Seattle. Heck, across the border in Idaho where minimum wage is a lot less than WA, they are even more expensive than Spokane.
I've lived in Switzerland and now live in China. These places are much more expensive in some goods (like cars, clothes, china is cheap in eating out at least). The differentials are much greater than anything you would encounter in the states.
California state income tax is also more than double that of Michigan's at those income levels.