In so far as insulin promotes de novo lipogenesis and suppresses lipolysis in adipocytes it DOES help keep the fat inside. But in Hyperinsulinemia / Insulin Resistance with Impaired Glucose Tolerance lipolysis may not be sufficiently reduced and fatty acids and glycerin can be spilled at the same time that Triglycerides are being formed & stored. In the liver the glycerin gets converted to glucose producing hyperglycemia.
Having support is very important with weight loss. If everyone can get on board, it will be easier to achieve your goals. Talk to your family (or friends, roommates, etc) before starting your diet and let them know your plan. Explain why you are making this decision and ways they can help you succeed. Even if they do not change with you, that's okay! Go forward with your plan! They may decide to join you once they see you succeed with weight loss.
The purpose of the Mayo Clinic Diet is to help you lose excess weight and to find a way of eating that you can sustain for a lifetime. It focuses on changing your daily routine by adding and breaking habits that can make a difference in your weight, such as eating more fruits and vegetables, not eating while you watch TV, and moving your body for 30 minutes a day.