He goes through a list of supplements folks should take even if they are consuming a healthy diet. These supplements include (among others): vitamin C, magnesium, vitamin K2, selenium and iodine. So yes, Iodine and its companion supplements are good for everyone.
Having said this, in my opinion radically changing one's diet brings upon turbulence. Turning away from food addictions is murder, dramatically changing one's macro nutrient levels (protein, fat, carbs) can be tough in the beginning. For example, going low carb may cause a Candida die off. That is why I think it is best to first get one's dietary house in order before spending too much attention on toxins (fluorine, bromine, mercury...). Once your body stabilizes then work to clean up the messes that diet alone cannot touch.