Here is an interesting article about using livestock to reduce the tillage needed in organic crops systems. http://www.montana.edu/news/15433/msu-organic-farming-study-finds-diverse-benefits-using-sheep.
I intend to do some strip specific grazing of some cover crops this year with my Oxen, I am not sure how much tillage reduction they will create, I am more interested in them self harvesting and eliminating a few steps and tractor compaction for a few weeks of feed.