I've actually thought about this quite a bit. I was going to look up some more info and make a post about the theory of using compost for heating a small home but never got around to it.
The inspiration for thinking about this is from stories my grandparents told of German house barns. The ground level of the house barn was for animals. As you added more and more clean bedding material through the winter the open animal area slowly built up a layer of manure and straw that could be a couple feet thick or more and would warm up a little as it composted a bit. That helped keep the animals warm and combined with the animals body heat, warmed up the second floor of the building which was the house. (The story was that the housebarn was built into a hill so that the 'house' door faced the hill so it was 'ground level' and you weren't going up and down stairs to get in the house all the time, the barn doors faced away from the hill, so they to were technically ground level as well.) It was also supposed to be really nice that in the middle of a nasty winter you didn't have to go outside to tend to the animals, you just went downstairs. I did a search and I think the "Black Forest House" is close to what was described.
http://en.wikipedia.org/wiki/Housebarn
http://en.wikipedia.org/wiki/Black_Forest_house
I suspect some are thinking it would stink but I doubt it. My Grandpa had around 25 sheep usually. It wasn't a house barn, just a cement block barn with no heat and no insulation, we never cleaned it out all winter and just kept adding more clean straw all winter. It did smell of sheep a little but nothing unpleasant in the least. It would get a little chilly in the coldest of winter, maybe enough to just barely see your breath. There would be snow outside and us kids would take our coats off to go play upstairs in the loft in the winter. A sweatshirt and a hoodie and you were comfortable.
These are the 2 ideas I had been wondering if they would work. I don't believe either would warm a structure enough on it's own, but like the house barn it could keep it warmer.
1) Heat water in a large outdoor compost pile and then bring that water into the structure to warm up a mass like the mass of a
rocket mass heater, or use it through a standard type heating radiator, or run it through floor heating tubes. I'm just not sure how much heat you can pull away from the pile before you kill the process by cooling the pile down to much. I suspect it would help a good deal for such a pile to be insulated against ground contact as well as the elements so you had as little heat loss as possible.
2) When looking at the 10x10 wofati build I was thinking what if you had a
concrete room off to each side of the living area. This would make each side wall of the wofati concrete. (Or similar such material) Each concrete room would be wide enough to get a bobcat into it. You could fill each concrete room with material to compost in the late fall, and through each shared wall with the living area warm up that living area. In the spring you used a bobcat to clean it out and then take your compost to the garden or field. I'm not sure how much stirring would be needed but I suspect something like a grain drying bin stirring system would do the job. It could be even better if you could put the concrete room below the structure so the shared heat exchanging portion was the ceiling of the compost room and the floor of the room to heat. Much like the animal area of a house barn.
The heat inside the pile may never make it to the outside of the pile enough to make it all work, I don't know. It would also be a lot of work. Just like stocking up the wood pile for winter you would have to figure out a good mix of compost material and fill up the chambers each fall. Then clean them out each spring.