If someone converted to Islam if he is not Muslim by birth but
Accept islam.will he enjoys equal rights as a Muslim by birth.
Is he assimilated in Islamic society.
It doesn't really matter. People were born Muslims then their parents who are not muslim try to make them into Christian or Jew or any other religion. And it is not convert but revert to the Truth so yes Muslims have rights. Allah knows best.
If someone converted to Islam if he is not Muslim by birth but
Accept islam.will he enjoys equal rights as a Muslim by birth.
Is he assimilated in Islamic society.