Prepare the quinoa according to package directions. Transfer to a large bowl and chill in the fridge until completely cooled down.
In the meantime, make the dressing by combining all of the dressing ingredients into a mason jar. Add the lid and shake to combine. Taste and adjust to personal preference.
Once the quinoa is completely cooled down, add the chopped red pepper, shredded carrot, chopped cucumber, thawed edamame, chopped green onions, shredded red cabbage, coarsely chopped kale, and ribboned basil.
Toss to combine (add dressing only to the portion of the salad that will be eaten the same day). Add the dressing to the salad and again, taste and adjust for seasonings (add more lime juice, salt, etc. as needed).