(Al-Baqara) 2 : 112
بَلَىٰ مَنْ أَسْلَمَ وَجْهَهُ لِلَّهِ وَهُوَ مُحْسِنٌ فَلَهُ أَجْرُهُ عِنْدَ رَبِّهِ وَلَا خَوْفٌ عَلَيْهِمْ وَلَا هُمْ يَحْزَنُونَ
Nay, anyone who submits his face peacefully to Lord Allah, and is living seeing Him, so he has his reward with his Lord. Upon them, there shall be no fear, and for them will not be grieved.
The Lord says that whoever among mankind, if submits wholly to the Owner Lord and is living under the Light of the Best Book Adhikr, he has his reward with his Lord, and upon him, there shall be no fear and for him will not be grieved. That means in Islam, there is no conversion of religion by changing names and costumes. Instead, there is only the formation of True belief with Adhikr as explained in verse 2: 62. See explanation 2: 256; 10: 26 and 100.