Kale Pesto: First, blanch kale. Bring a pot of salted water to a boil and add kale. Cook until wilted, about 2½ minutes. Transfer kale to a bowl of water and ice to preserve its bright-green color. Drain and cool. Place leaves between two paper towels and wring out as much moisture as you can.
In blender or food processor, pulse kale, garlic, Parmesan, salt, pepper, almonds and 2 Tbsp lemon juice until coarsely chopped. Add honey and olive oil and continue to pulse. Taste and adjust with remaining lemon juice until pesto is a drizzling consistency. Store in refrigerator, covered, for up to 1 week.
Pasta: Bring large pot of salted water to a boil. Cook pasta according to package directions until al dente. About 2 minutes before you drain pasta, add peas and broccolini to the pot. Reserve ½ cup of pasta water, then drain pasta, peas and broccolini in a strainer. Add butter to everything in strainer and toss well.
Return pot to the stovetop (without heat) and add pesto. Slowly whisk in reserved ½ cup pasta water until pesto is thinned but not brothy. Add spaghetti and vegetables and toss until pesto is well distributed. Serve with grated Parmesan and some freshly ground black pepper.