Goat dung will definitely help. I have seen many people in Hassan, Mandya and Mysore district of Karnataka use goat manure in coconut and sugar cane fields.
I am also in the process of of reviving my coconut trees (they were neglected for the past few years) and have been using general dose of cow dung. Couple of months back I had the care taker apply river silt too to the base of each and every coconut tree.
Basically what I intend to mention here is use of any type of organic manure/compost will help to improve the soil structure there by micro organisms which in turn will ensure the plants get their daily dose of their ‘food’. To become 100% natural farmer it will take few years I guess. ie the soil structure to improve and have abundance of ready made fertilizer in it to be available for plants is going to take time and initial supply of organic manure/organic matter will definitely help.
Another things that you may want to try is ‘compost tea’ or ‘jeevamrutha’ or ‘pachagavya’. I personally have been using compost tea in my home garden and it seems to be very effective.
I started my home garden exactly 2 and a half years back and the type of soil was ‘clay’ initially. There was no life in the soil. After adding compost and using compost tea and adding composted chicken manure, I was able to revive the soil to a great extend. Currently I can go a good 12 inch deep and still find porous soil.