Add crumbled feta cheese and Greek yogurt to a food processor bowl. Pulse until the mixture reaches a smooth, whipped consistency, about 2-3 minutes. Stop and scrape down the sides as needed because feta can clump if over-processed on high speed.

Pour in the lemon juice and add fresh thyme leaves plus black pepper. Pulse gently to incorporate the seasonings, another 30-45 seconds. The creamy whipped feta fig dip base is nearly complete at this stage.

Transfer the whipped mixture to a serving bowl using a spatula. Swirl the fig jam across the top in decorative ribbons rather than fully mixing it through because visual appeal matters for elegant entertaining.

Drizzle extra virgin olive oil generously over the surface, then sprinkle your chopped walnuts and fresh thyme across the center. Let the dip rest at room temperature for 5 minutes to allow flavors to meld before guests arrive.

Top with scattered chopped fresh figs just before serving. Arrange your finest crackers around the bowl on a wooden board or white ceramic platter. The color contrast will make this feta dip absolutely glow.