Combine the dressing ingredients in a small jar with a lid and shake vigorously until emulsified.
Make the salad:
Bring a medium pot of water to a boil. Add shredded tofu and cook, uncovered, for 1 minute. Rinse with cold water, drain well and transfer to a large bowl.
Add remaining ingredients (carrot through cilantro) and dressing; toss to combine.
Transfer to the refrigerator to chill for at least 30 minutes. Serve cold or at room temperature.