In a large skillet, cook bacon until browned and nearly crisp, about 8 minutes. Add the onion and crushed red pepper, season with salt and cook, stirring occasionally, until the onion is golden, about 10 minutes. Add the garlic and cook until fragrant, 1 minute.
Carefully add the vodka and cook, scraping up any browned bits on the bottom of the skillet. Add the tomatoes with their juices and bring to a boil. Cover and simmer over moderate heat, stirring occasionally, until the tomatoes start to break down, about 10 minutes.
Uncover and simmer until reduced slightly, about 5 minutes longer. Stir in the cream and peas and cook, stirring occasionally, until the sauce is slightly thickened, about 5 minutes. Stir in the basil and season with salt and pepper.
Meanwhile, cook pasta according to package instructions until al dente.
Drain the pasta, reserving 1/4 cup of the cooking water. Add the pasta to the skillet along with the reserved cooking water and cook over moderate heat, stirring, until the pasta is coated, 1 to 2 minutes. Top with Parmigiano-Reggiano to serve.