Bring a large pot of water to boil.
Place the parsley, capers, lemon zest and juice, crushed red pepper, anchovies, garlic and EVOO in a food processor and pulse into a pesto sauce.
Salt the boiling pasta water, then drop the pasta and cook 6 minutes. Add the broccolini tops and cook until the pasta is al dente, about 4 minutes. Reserve about 1 cup of the starchy pasta cooking water.
Drain the pasta and vegetables and return to the pot. Toss with the reserved cooking water and the pesto to coat, then adjust seasoning to taste.