Muslim objections to the Gospels, Who are their fathers?

Modern Islamic apologetics requires Muslims to profess what presently constitutes the gospel accounts as being fraudulent, this of course being a necessity since the doctrines within them plainly contradict Islam (eg they teach Christ actually died, Christ calls God His Father, they call Christ God). 

A recreation of a Muslim polemicist is reproduced below:

Muslim: Who wrote the Gospels? We don't even know the names of their fathers!

Response: We know the names of the fathers of two of the 4 gospels.

The Gospel according to John was written by the Apostle John. 

The Apostle John was the son of Zebedee, and his brother was James: 

And James and John the sons of Zebedee, come to him, saying...--Mark 10:35 

James and John the sons of Zebedee, who were Simon's partners. --Luke 5:10

James the son of Zebedee, and John his brother, in a ship with Zebedee their father--Matthew 4:21 

We also know his occupation was a fisherman based these passages. St John the Apostle when writing his Gospel account never mentions himself by name when referring to himself, a sign of humility. He was the last Apostle to die and only to survive martyrdom. He compiled his last seeing information lacking in the other 3 accounts, and to refute errors.

The Gospel according to Matthew was written by the Apostle Matthew.

The Apostle Matthew was also named Levi and his father was called Alphaeus.

As Jesus passed on from there, he saw a man called Matthew sitting at the tax booth, and he said to him, “Follow me.” And he rose and followed him. --Matthew 9:9

And as he passed by, he saw Levi the son of Alphaeus sitting at the tax booth, and he said to him, “Follow me.” And he rose and followed him.--Mark 2:14

 From these passages we also learn his occupation was a tax collector.

The other two Gospel accounts were not written by apostles proper but rather by members of the 70 disciples Jesus sent out: Mark and Luke. From ancient tradition we are told St Mark got his account from the Apostle Peter son of John. Mark was a disciple of the Apostle Peter being called his "son" in 1 Peter 5:13. The account of St Luke according to its own account seems to suggest he consulted people like the Virgin Mary. Their father's names are not provided in scripture being less important. We are told that Luke was a physician (Colossians 4:14) 

In response to the Islamic objection, it should be asked if they hold their sacred text to the same level of scrutiny. What was Muhammed's father?