Who wrote the New Testament?

Muslim dawa-ists like to draw attention to the fact that the respective gospels of Matthew, Mark and Luke do not have the names of their authors in the text.

They say,
"Matthew who?
Mark who?
Luke who?
John who?"

And yet do the propose another hypothesis for who these authors are?  If people will just naïvely accept any religious writing, then the same goes for the Quran.  But the fact is that people in practice tend to be stubbornly unmovable when it comes to religious belief, as you will yourself notice when you share the gospel.

You could not just write an anonymous pamphlet and get people to believe it.
 The fact is that these books were accepted by the early church.
Also these authors are attested to by the Early Church Fathers.

Also,  I would like to point out that Matthew is mentioned as the son of Alphaeus five times in the New Testament.  John's last name is listed in the gospels (son of Zebedee).
Mark probably appears briefly in his own gospel, and Luke is mentioned by Paul.

Finally, it is appropriate to ask:  Where in the Quran is there insight that there are four "gospels", and they are anonymous?  This is another case where Muslims are treating the Quran as an empty bucket to fill with modern day insights.