Wow! I think that a Dom even asking something like that, let alone commanding it is unthinkable! True submission is not the act of "giving up" who you are. It is "giving in" and submitting to the will of your Master.
A good Master wants a sub who has heart, passion and fire. That makes their control of you all the sweeter as they know that you choose to obey. That their control of you is not some mindless thing... a reflex. It is an act of your will, submitting to theirs.
The fact that you may hold ideals and beliefs that are unique and even contrary to your Master's, should be a thrill to him - not a threat. He controls you, owns you, but you are still you.
As a sub, I could not respect or trust a Master that would want me to totally "check out." I want a Master that sees my act of obedience and understand that I could choose otherwise...but submit to his power instead.