Whisk lemon juice, soy sauce, tahini, sugar, ginger, and garlic in a small bowl to combine. Gradually add vegetable oil followed by sesame oil, whisking constantly until emulsified; set aside.
Cook noodles in a large saucepan of boiling salted water according to package instructions until al dente. Drain; rinse under cold water, then drain again.
Toss noodles, steak, kohlrabi, scallions, cabbage, and cilantro in a large bowl with three-quarters of reserved dressing to combine and evenly coat; season with salt. Top with cashews and Sichuan peppercorns and drizzle remaining dressing over.
Do Ahead: Dressing can be made 1 day ahead. Cover and chill.
