A recent study of people with LADA found that they have a mixture of genes associated with BOTH Type 1 and Type 2 diabetes. But the genetic profile was significantly different from Type 1.
You might find this interesting:
Genetic Similarities Between Latent Autoimmune Diabetes in Adults, Type 1 Diabetes, and Type 2 Diabetes.
Camilla Cervin et. al. Diabetes 57:1433-1437, 2008