For all human beings, Islam begins from the discovery of God, rather than the mere fact of being of Muslim lineage. When an individual discovers Islam as an absolute truth, he makes that his starting point. Being born into a Muslim family and thus having a Muslim name certainly makes one a member of the cultural society of the Muslims, but in no way does it entitle anyone to find his or her name on the list of the ‘guided ones’ in the true Quranic sense. This is called the rediscovery of Islam.
Source: Islam Rediscovered