In a medium bowl, mix together the minced Italian parsley, shallot, red wine vinegar, garlic, a pinch of kosher salt, crushed red pepper and olive oil. Give it a taste and adjust the salt to taste (I added a pinch or two more). You can prepare this up to 1 day in advance.

Bring the lamb rib chops to room temperature. I like to leave them on my kitchen counter for about 30 minutes. Sprinkle both sides with kosher salt.

Preheat your grill to medium-high heat. Rub the grates with neutral oil. After a minute or so, put the rib chops on the grill and cook on each side for about 3 to 4 minutes or until a thermometer inserted into the center reads 145° F (for medium-well).

Remove from the grill and set aside to rest. Toss the tomatoes with a teaspoon or two of olive oil and a sprinkling of kosher salt. Add the tomatoes to the hot grill. Cook until blistered and slightly softened, about 1 to 2 minutes. Remove.

Add the lamb rib chops and tomatoes to a plate. Drizzle lamb chops with chimichurri.