It's your life to live, no one elses. You have to be true to yourself. What is more important to you? Do you want to be fake just to pacify your bigoted family?
Everyone's cross dressing journey is different and everyone has to make their own decisions on how to live their life. If you're content with the situation then fine. But if you want to go out in public, someone you know will eventually bump into you while you are dressed, it's happened to me several times. Basically you have to accept who and what you are and OWN IT. Don't be a mouse, be a lion.
Peace & Love
Gerri