For the red wine vinaigrette: In a medium mixing bowl, combine the red wine vinegar, shallots, garlic, salt and pepper and whisk together well. Slowly whisk the extra-virgin olive oil into the middle of the vinegar mixture to create an emulsion, incorporating all the oil. Stir in the chives. Cover and refrigerate.
For the salad: In a medium saucepan, toast the quinoa in the olive oil over medium-high heat about 1 minute to evaporate the water. Add the vegetable stock and salt and bring to a boil. Immediately reduce to a simmer and cook, covered, until the water is absorbed, about 15 minutes. Remove from the burner and allow to sit covered for 5 minutes. Fluff the quinoa and let cool uncovered; reserve to the side.
In a large mixing bowl, combine the kale, carrots, radishes, red onion and cooked red quinoa. Add the red wine vinaigrette and toss well to thoroughly combine. Place the salad on a large serving platter and serve immediately.