Ephesians 2 makes it clear that faith is not a work of man....it is of God.
Jesus says faith is the work of God.
John 6:29Jesus answered them, “This is the work of God, that you believe in him whom he has sent.
You are misinterpreting what Jesus said. As DHK already pointed out, it is a play on the concept of "work". No how should one take this answer from Jesus as meaning faith is something God makes you have.
If one reads carefully the entire exchange on this subject, it will become clear that it is each person's personal responsibility to believe God the Father. Only those who believe will be drawn by God to Jesus, and given to Jesus, the regeneration process.
John 6:28 - "Then said they unto him, What shall we do, that we might work the works of God?" They are in a works based frame of mind, wanting to do works in order to please God the Father and gain eternal life.
John 6:29 - "Jesus answered and said unto them, This is the work of God, that ye believe on him whom he hath sent". Why would anyone take this answer as God doing the work of believing on behalf of the hearer? That is wrong. Obviously the context is what are the hearers personally responsible for doing?
Jesus said, "that ye believe on him whom he hath sent". It is not God the Father making you believe, it is your personal responsibility to believe!
After further questioning, Jesus continues the progression of what happens AFTER one chooses to believe...
John 6:35,37 - "
And Jesus said unto them, I am the bread of life: he that cometh to me shall never hunger; and he that believeth on me shall never thirst........All that the Father giveth me shall come to me; and him that cometh to me I will in no wise cast out". Once a person believes, the Father then draws them giving them to Jesus Christ, the living water/eternal life.
The Word is preached.
Hearers are challenged to believe or not believe.
Those who believe are then drawn by God the Father and given to God the Son.
Regeneration is complete, Jesus will never cast the born again believer out.
The error Calvinism is making is they are placing the "drawing" before faith. The passage is clear that the "drawing" and the "giving" is performed AFTER faith is acknowledged.