Preheat the grill to high heat. Cut the watermelon and pineapple into wedges, 3/4 inch thick. Cut the kiwi into 1 inch rounds. Cut each peach into 6 wedges and remove the pits. Halve the mango along side the pit, and cut each half into 3/4 inch pieces.
Grill the cut fruit in batches, 1 minute per side. As you take the fruit off the grill, arrange it on a large platter. Sprinkle lightly with salt. Then sprinkle fresh strawberries, blueberries and raspberries over the top.
In a small bowl, whisk the yogurt, honey, lime juice, and vanilla together. Drizzle the dressing over the top and sprinkle with fresh basil leaves.
NOTES: All name brand ingredients listed in the recipe were found at ALDI.