No. Just as it is not appropriate for me, as a Muslim, to tell others (such as Christians or Buddhists) how to practice their faith, it is not appropriate for someone who is not a Muslim to tell me how to practice my faith.
(It is fine to listen to people's ideas but they should be taken as suggestions or observations, not commands)
Self-definition is a fundamental right of human beings and part of human dignity. When a person (or group) gives that up, they are demeaning themselves.
This is apart from the fact that the main message of the Qur'an is one should obey Allah and the Prophet (S) as primary sources.
Of course, if there is some legal or practical reason why one is under the authority of someone else (imprisonment, political oppression, laws enforced by police, etc), sometimes there is no choice but to do what one is told to do. However that is not internal obedience; rather that is simply being forced to do something due to circumstances.