Friendly_Turk,
I will pray that the Lord will bless you and use you to win many of your relatives and friends to Christ. My first advice would be to get baptized if you have not already.
I would also encourage you to read the words of Christ, that if you confess Him before men, He will confess you before the Father.
Matthew 10
32 “Therefore whoever confesses Me before men, him I will also confess before My Father who is in heaven. 33 But whoever denies Me before men, him I will also deny before My Father who is in heaven.
34 “Do not think that I came to bring peace on earth. I did not come to bring peace but a sword. 35 For I have come to ‘set a man against his father, a daughter against her mother, and a daughter-in-law against her mother-in-law’; 36 and ‘a man’s enemies will be those of his own household.’ 37 He who loves father or mother more than Me is not worthy of Me. And he who loves son or daughter more than Me is not worthy of Me. 38 And he who does not take his cross and follow after Me is not worthy of Me. 39 He who finds his life will lose it, and he who loses his life for My sake will find it.
(NKJV)
You have to be willing to lose your family for Christ's sake, if necessary. Paul also said to one man, "Believe on the Lord Jesus Christ and you shall be saved and all your house."
Many believers have lost relationships with family over their faith in Christ. But it is possible that God may win your family to Christ through you. An acquaintance of mine who planted churches in the middle east says he uses the 'CAMEL' method, an acronymn which you can look up online.
There are a number of verses in the Al Qur'an that speak well of Jesus. It calls Jesus the Word of God, and the Al-Qur'an treats the Taurat, Injil, and Mazmur, the Torah, Gospel, and Psalms as genuine scripture. Historically, in the 600s, the church was using the same Bible we use today. So you may show them that the Al-Qur'an teaches that the Bible is genuine and that Jesus is the Word of God, and born of a Virgin.
Is there ever a time in eternity past that God was unable to speak or think? What does it mean that Jesus is the Word of God? If the Gospel and the Torah of the Jews and Christians are genuine, then what do they say about Jesus? You could share this with them and tell them that someone gave you a Bible, and then tell them the things you discovered.
Be willing to lose all for Christ, but seek to win your family for Christ. Give us some updates so we can pray for you specifically.
Btw, in the United States 'come out to my family' almost always means for someone to tell his/or her family that they are gay. So some people were confused when they read the title. But this is a good thread you have posted.