The difficulty with traditionally cultivated land will be to get the residual inorganics broken down enough to allow a balanced soil biome to re-establish. Initially the more sensitive microbes probably won't tolerate the condition left. Once the locked up phosphates get used up, glomalus and other mycorrhizae will be able to help with things, but they don't flourish in high phosphate conditions.
Lactobacillus will help chelate whats currently inaccessible and (generally) raise the pH to help get the microherd leaning toward aerobic and beneficial. IMO (Indigenous Micro-Organism) harvesting and propagation from healthy virgin soil of the type you wish to cultivate will repopulate the soil environment as it becomes viable.
What the basic difference is in what you are trying to grow. You don't worry about getting the Nitrogen into the corn, the Calcium to the tomatoes, or the Magnesium to the peppers--you feed the soil the stuff microbes that make healthy soil. You grow healthy soil communities, and they fill their niche by trading nutrients for plant exudates. The end result is a stronger immune system, larger root area, better nutrient uptake, increased drought and flood tolerance, improved heat tolerance, higher brix levels, and most importantly--more nutrient dense and flavorful crops.
Brassicas are a bit different--they will not establish relations with ecto- or endo-mycorrhizal fungi, but will enjoy the healthy soil anyway.
Compost, seaweed, untreated crop litter, animal manures--with lactobacillus/bokashi/Korean Natural Farming techniques, "garbage" and "food waste" are "soil food" in no time.
No offense to those who have gone through the expense of certification, but I hate the entire "organic" certification, movement, and the racket of increased expense and regulation the "organic" lobby have perpetuated. Good holistic farming practices that increase crop health and nutrient density don't matter if you can't buy into "The Club". Getting petrochemicals and salts out of soils shouldn't be hindered... creating an industry based on the process isn't helping get people in.