If I were to design the ultimate dietary program to heal cavities that incorporates the successes of both doctors, it would look something like this:
Rich in animal foods such as meat, organs, fish, bone broths, full-fat pastured dairy (if tolerated) and eggs.
Fermented grains only; no unfermented grains such as oatmeal, breakfast cereal, crackers, etc. No breads except sourdough because they typically aren't made from fresh flour.
No nuts; beans in moderation, only if they're soaked overnight or longer in warm water (due to the phytic acid).
Starchy vegetables such as potatoes and sweet potatoes.
Moderate quantities of fruit, but no refined sweets.
Moderate quantities of well-cooked vegetables.
Sunlight, high-vitamin cod liver oil or vitamin D3 supplements.
Generous amounts of pastured butter.
No industrially processed food.
This diet would maximize mineral absorption while providing abundant fat-soluble vitamins. It probably isn't necessary to follow it strictly. For example, if you eat more mineral-rich foods such as dairy and bone broths, you can probably get away with more phytic acid. Or you might be able to heal cavities eating like this for only one or two meals a day, as Dr. Price demonstrated
