Islam basically means submission to an all-powerful entity. So the word muslim means "one who submits," it shouldn't be confused with a race.
Anyone can be a muslim, white person or whatever

When Adam committed his mistake he said: O my Lord, I am asking you to forgive me for the sake of Muhammad. Allah said: O Adam, and how do you know about Muhammad whom I have not yet created?
Adam replied: O my Lord, after You created me with your hand and breathed into me of your spirit, I raised my head and saw written on the heights of the Throne:
LA ILAHA ILLALLAH MUHAMMADUN RASULULLAH
I understood that You would not place next to Your name but the Most Beloved One of Your creation. Allah said: O Adam, I have forgiven you, and were it not for Muhammad I would not have created you.