Add the potatoes, carrots and onions to a pot. Cover with water and boil until everything is soft.
Reserve a 1/4 cup of the boiling water and drain the rest. Add the vegetables back to the pot to cool off for a bit.
Add the cooked vegetables to the Vitamix and add nooch, oil, vinegar, and seasonings. Process until creamy. In the Vitamix, this will take less than a minute. If it seems to thick, add some of the reserved cooking liquid.
Use immediately or store. When ready to reheat, add a little water to thin it out. Enjoy!
Bring 2 quarts water to boil in medium saucepan over high heat. Add potatoes and carrot and cook until tender, about 12 minutes; drain in a colander.
Combine cooked vegetables, ⅓ cup water, 2 tablespoons oil, nutritional yeast, vinegar, and salt in a blender. Pulse until chopped and combined, about 10 pulses, scraping down sides of blender jar as needed. (You will need to stop processing to scrape down sides of blender jar several times for mixture to come together.) Process mixture on high speed until very smooth, about 2 minutes.
Meanwhile, heat remaining 1 tablespoon oil in a now-empty saucepan over medium-high heat until shimmering. Add onion and poblano and cook until softened and lightly browned, 3 to 5 minutes. Stir in garlic, chipotle, cumin, and mustard and cook until fragrant, about 30 seconds; remove from heat.
Stir processed potato mixture into onion-poblano mixture in saucepan and bring to a brief simmer over medium heat to heat through. Transfer to a bowl and serve immediately.