And then add a tax to either the more refined flours (which is likely to make sweet baked goods go up in price as well) or simply tax the more unhealthy white bread and buns so they aren't nearly as affordable.
Edit: I'll mention that some salt is actually good for bread making, as it balances out the yeast. I'm not sure if this is such a problem on an industrial scale since they can control variables much better than the home cook. In addition, it tastes weird without salt. but it doesn't take all that much to satisfy the physical and taste requirements.
Furthermore, I'll advocate for a bit of fat in the bread, though it should come from healthy sources. This helps bread not go stale so quickly, and I'm actually more concerned about unnecessary preservatives.
Finally, an afterthought: We should make sure to make the healthy bread convenient and available, even in a food desert.
Huge Pandora's box right there with California nut farmers. Basically, way back a bunch of people bought cheap land and then bought politicians to build the water infrastructure to make that privately owned land commercially viable. Now that water supply is unreliable, there's a movement to force the California taxpayers to boost the nut producers' profits, which some people disagree with.
Quinoa, sunflower seeds, peanuts, poppy seeds, and so on could easily be done.
Food deserts may not actually be the problem.
http://www.nytimes.com/2012/04/18/health/research/pairing-of...
http://www.motherearthnews.com/-/media/Images/MEN/Editorial/...
It appears to me that refined-corn and sugar are the two worst culprits for poor nutrition.
Edit: Eater always cracks me up with their alarmist headlines and fascination with shoe-horning identity politics into articles. Not to be taken seriously IMO.
Most people's diet contains way too much salt, and therefore it is completely honest to say that salt is "bad for you".
The vast majority of them have way way too much salt in their diet, therefore it is perfectly honest to say that high sodium content in food in the USA is "bad for you", because we live in a context where too much salt is the problem, and not too little.