Add more organic matter, that is all your soil needs, and give it time to get worked into the soil.

The worms ate it and turned it into castings! :o) If it is serious clay... 2 years won't do enough... mulch! Mulch! :o)
The worms will march in.

This soil sounds pretty good to me!!! Start planting!!!

I have heavy clay soil (zone 5A, eastern Nebraska), so I'm using raised beds with a soilless mix amended with plenty of compost. Over time, the raised beds have naturally been mixed with some of the clay topsoil below. Because the heaviness the clay I use a lot of perlite and peat most to help make the moisture characteristics and permeability better for the plants.

I'd read that rice hulls (by-product of stripping the hulls off of rice to make that pretty white rice) was one of the best amendments for clay soils. It would seem that there would be a lot of the stuff available, but I'll be darned if I can't find it in bulk. I look around every once in a while for it, but haven't yet found it in bulk.

I've read that garden gypsum can improve heavy clay soils, but I haven't tried it since I'm growing over most of the compaction.

Don't use sand. The only kinds I find seem to just cake when wet, resist drainage, and just make everything worse.

Another note--you might actually be worsening the compaction by turning the soil so frequently. I've read that a gardener should avoid working clay soil when it is wet.

I'm also considering various cover crops to add fibrous organic matter to some of the worst clay areas. Still doing the research on this though. My work is never done...

Here is a link that might be useful: Managing clay soils

Well, I found one bulk source of rice hulls. Pacific Ag commodities sells it by the truckload (17 to 18 tons). How many 50 lb bags is that? :-P

Here is a link that might be useful: Rice hulls

Sounds like you are on the right track. I'd also check the pH; you can get a self test kit or find a garden center/county ag. service that will do it. I found a garden center that tested my soil pH for free.