What does the Bible say about it?
Romans 9:8
8 That is, They which are the children of the flesh, these are not the children of God: but the children of the promise are counted for the seed. |
According to your proof text without context and interpreted strictly literally, some people are not God's children and were somehow conceived by the devil even though the devil can't create or father people. However, the idea of "Children of the devil" is obviously figurative. In one place Jesus tells the same ones he called children of the devil that they are God's sons according to scripture (John 10:34 cf. Psalm 82:6).
Do you care about what Jesus taught?
"Do not call anyone on earth your father; for One is your Father, He who is in heaven."
One difference between us is that I can say that to everyone unconditionally, like Paul did on Mars Hill (Acts 17:28-29); but you can't tell every sinner that God is their Father so they can have hope.