I can only speak for ourselves. We test for and apply a wider range of minerals than our neighbors. We keep more trees and shrubs as shelter for stock and insects. We are far more weed tolerant.
We do not use soluable nitrogen fertiliser as it prevents the uptake of some minerals by plants.
None of our neighbors, of course, use ge crops as it is illegal and there is no commercial interest to establish such.
And organic farmers in NZ are fairly scientific as a whole.
How many weeds you are willing to tolerate in the system is based on how many weeds your system ends up with. This is circular reasoning, that is, the way I farm produces x population of weeds, therefore I accept that weed burden. Organic farmers are able to remove less weeds and consequently are tolerant to that level.
Mineral uptake is a complex system, for example, low pH will restrict phosphorus uptake but increase aluminium intake. With Nitrogen though, non soluble nitrogen, 'often tied up in organic matter', is broken down by bacteria to ammonium before being broken down to nitrate nitrogen before being taken up by the plant. Whether the nitrate nitrogen originates from decomposing material or soluble fertilizers is irrelevant - they end up as exactly the same compound being taken up by the plant. Nitrogen is also a very expensive mineral to add to a crop, most farmers will utilize a combination of legumes, mineral fertilizers, organic matter and compost (in smaller systems) to supply their nitrogen needs. Basically they do what you do, as well as use mineral fertilizers.
Apart from that, nearly every farmer tests soil so as not to waste fertilizer, nearly all grow trees and shrubs that shelter stock and insects as part of their farm plan, and many don't use GE, because they haven't found a suitable place for it in their system due to price or variety unsuitability.