Place the raw cashews in a bowl. Cover and let soak overnight, or for at least 8 hours.
Drain the cashews and put them back in the bowl. Bring a pot of water to a boil. Once boiling, pour the water over the cashews. This step will kill possible bacterias. Drain the cashews.
Add them to a blender with the 2/3 cup water and blend on high speed until smooth and creamy. Scrape down the sides from time to time until everything is smooth.
Transfer to a small bowl or container and stir in the acidophilus powder. Cover with a clean towel and let sit at room temperature for at least 24 hours. The cashew cream should have a light sour taste, and you should see some air bubbles.
Melt the coconut oil over low-medium heat. Measure 1 and 1/4 cup of melted coconut oil and put it in a blender. Add 1/2 cup of cultured cashew milk, neutral oil, sunflower lecithin, salt, and carrot juice. Blend on high speed about 1 minute.
Line a 6x4-inch container with parchment paper. Transfer the mixture to the container and place in the freezer at least 1 hour, or until firm. Once firm, transfer to the refrigerator. It will become softer after a few hours.
This vegan butter will keep for up to 7 days in the refrigerator. Since this butter contains live cultures it might get stronger in taste/smell as time passes. If the smell is too strong, trash it. It will keep in the freezer for up to two months.