Combine the farro with the stock or water in a large saucepan and bring to a boil. Reduce to a simmer, cover and cook until tender, about 30 minutes; drain off any excess liquid. Season with salt and pepper and toss with 1 tablespoon of the olive oil. Set aside to cool.
Preheat the oven to 400 degrees F.
Toss the squash with the remaining 2 tablespoons olive oil, a few pinches of salt, a few turns of pepper and a pinch of crushed red pepper. Roast until tender, 25 to 30 minutes. Let cool.
Make the dressing by combining the yogurt, basil, mayonnaise, white wine vinegar, Dijon and garlic in a medium bowl. Season with salt and pepper.
In a large glass serving bowl, layer the farro, kale, squash, prosciutto, shallots, dressing, Parmesan and almonds. Finish with the remaining basil and a few turns of pepper.