Place all of the sauce ingredients into a blender or the bowl of a food processor fitted with an s-blade. Blend until smooth.
Bring a large pot of salted water to a boil. Add the pasta and set the timer to cook it until al dente.
When the pasta has about 30 seconds of cook time left, add the kale to the pot. Continue boiling until the pasta is finished cooking and the kale is wilted (30 seconds to 1 minute).
Reserve at least 1 cup of the water used to boil the pasta, then drain the pasta and kale into a colander.
While the pasta boils, heat the olive oil in a large pot over medium heat.
Add the garlic. Sauté the garlic for about 1 minute, until very fragrant.
Stir in the wine and remaining sun-dried tomatoes. Bring the wine to a boil, lower the heat and allow it to simmer until it reduces by about half, about 4 minutes.
Stir in the cooked pasta, kale, and cashew mixture. Thin the sauce with as much reserved pasta water as is needed to reach your desired consistency. Stir and cook the mixture for about a minute, just to heat up the sauce.
Remove the pot from heat and stir in the basil. Season the mixture with salt and pepper to taste.
Serve.