Yes he would. Why? God sent his Son to save mankind so why should you be different? Although those close to us may reject us because of who or what we are, God views us differently:
1 Samuel 16:7 NIV
But the Lord said to Samuel, “Do not consider his appearance or his height, for I have rejected him. The Lord does not look at the things people look at. People look at the outward appearance, but the Lord looks at the heart.”
This is good news because no matter what I look like or behave like, God knows the real me and that is who God is interested in, not the outward act but the inner depth. He is interested in everyone, even if close family have rejected us:
Psalm 27:10 NIV
Though my father and mother forsake me, the Lord will receive me.
He loves all his creation:
John 3:16-18 NIV
For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life.  For God did not send his Son into the world to condemn the world, but to save the world through him. Whoever believes in him is not condemned, but whoever does not believe stands condemned already because they have not believed in the name of God's one and only Son.
All we have to do is respond in the right way:
Acts 3:19 NIV
Repent, then, and turn to God, so that your sins may be wiped out, that times of refreshing may come from the Lord,
Acts 2:38 NIV
Peter replied, “Repent and be baptized, every one of you, in the name of Jesus Christ for the forgiveness of your sins. And you will receive the gift of the Holy Spirit.
Would God accept me, yes. The true question is, will I accept God?