Bring a large pot of salted water to a boil. Add the pasta and cook until al dente. Reserve 1 cup of pasta water.
Heat a large frying pan with olive oil over medium-high heat. Add broccolini and cook until tender and lightly charred.
In a blender, combine roasted red peppers, cashews, parmesan, basil, red pepper flakes, fresh garlic, paprika, smoked paprika, olive oil, and pepper liquid. Blend until smooth.
Pour the sauce into the broccolini pan. Reduce heat and let it warm through.
Strain the pasta, saving the water. Add pasta to the pan with the sauce and toss gently. Add pasta water as needed to loosen.
Season with pepper and extra parmesan. Enjoy hot.