Pulse the first 10 ingredients in a food processor until very finely chopped. With the motor running, slowly add the oil and process until smooth. Season with salt and pepper.
For the Vegetables
Toss the Vegetables in 1/2 c olive oil and 1 clove garlic. Salt & Pepper. Grill in groups on Medium High Heat. Cook, turning occasionally, until vegetables are lightly charred all over, about 10-12 minutes. Place on platter and serve immediately or at room temperature.