Combine sauce ingredients in small pot and warm over low heat.
For the slaw, add carrots, cucumber and radishes to a bowl. Combine water, sugar, vinegar and salt in a saucepot and heat to dissolve sugar and salt. Pour over slaw, toss salad and chill or reserve at room temp.
For the burgers, combine meats with garlic, ginger, salt and pepper. Form 4 patties. Heat a little oil in a skillet over medium-high heat and cook burgers 10-12 minutes, turning once. Bathe them in sauce during the last minute of cooking
Pile burgers on buns and top with lettuce, mint, cilantro and slaw. Set bun tops in place and serve with exotic root vegetable chips alongside.