Cook your pasta according to package instructions. For a saucy pasta, use 8 oz, for a more pasta forward dish, add 2 - 4 oz more.
While pasta cooks, heat up a little oil in a pot, then add in the white sections of your green onions. Reserve the greener pieces for garnish. Cook for 1 minute or so, until they become translucent.
Add in your garlic and cook for 1 minute, don't let it burn.
Add in the unsweetened plant milk. Whisk and cook for 1 minute.
Add in vegan cheese shreds and whisk until melted. Add more plant milk if it feels too thick.
Next add the Gojugaru flakes, Gojuchang and Kimchi. Stir to combine.
If you want your cheese sauce extra smooth, you can try to use a stick blender (I didn't have luck with this however) or do like I did and just blend it up in a high speed blender, then add it back to the pot. Or you can leave it chunky if you like too and skip blending.
Add in the lime juice, sesame oil, and then salt and pepper to taste (mine didn't need any salt and pepper FYI) and adjust any seasonings to your liking.
Once it tastes good, add in your cooked pasta, reserve a cup of the pasta water. Stir to combine. Add in some pasta water if it feels to thick.
Top with the reserved green onions, more Gochugaru flakes and sesame seeds.
Enjoy!