In the bowl of a food processor fitted with the “S” blade, combine the sunflower seeds, kale, dried oregano, garlic, 2 tablespoons of the lemon juice, 1 ½ tablespoons of the nutritional yeast, sea salt, and pepper. Pulse the motor of the food processor until the sunflower seeds are finely chopped and you have a dry paste texture.
With the motor running, pour the olive oil into the food processor through the feed tube. You should have a chunky paste at this point. Add a splash of the ice water to make the texture a bit more fluid and creamy. Check the pesto for seasoning and adjust if necessary. Reserve 3 tablespoons of the pesto in a bowl and set aside.
To the kale pesto in the food processor, add the remaining lemon juice, white beans, tahini, and coconut aminos. Run the motor until you have a creamy mixture. Then, with the motor still running, drizzle the remaining ice water through the feed tube.
Your finished dip should be super creamy and lush. Check the seasoning of the kale pesto white bean dip one more time and adjust if necessary with salt, pepper, possibly more lemon, nutritional yeast, and coconut aminos. This is personal taste!
Serve the dip at room temperature with cut vegetables, crackers, crostini etc. Leftover dip keeps in a sealed container in the refrigerator for up to 5 days.