Bring a large pot of water to a boil. Add the pasta and salt the water liberally. Cook the pasta until al dente, 6 to 7 minutes.
While the pasta cooks, heat a deep skillet over low heat and add the EVOO, 3 turns of the pan. When the olive oil is warm, add the garlic and red pepper flakes. Turn off the heat and set the garlic aside for 5 minutes, then raise the heat to medium, add the wine and lemon zest and boil to reduce the wine by half, about 3 minutes.
When the pasta is just about cooked, add a ladle of starchy pasta cooking water to the skillet with the sauce and stir in the heavy cream. When the cream is warmed through, whisk the lemon juice into the sauce and season with salt. drain the pasta and toss with the sauce, then let the pasta stand for 1 minute so it can soak up a little of the sauce and lots of flavor. Toss with the parsley, basil and a couple handfuls of grated cheese, then serve immediately. Pass around the extra cheese at the table.