God Himself doesn't have DNA per se, unless He wants to. But He would have to impart DNA to His Earth-bound son, to make him a functional human being. Jesus, at least as I was taught, is fully God and fully Man, with neither diminishing the other. So at least while he walked the Earth, breathing oxygen and such, he must have had 23 chromosome pairs like the rest of us.
In the present conversation, my point is this: most children look a little like their mother and a little like their father. The degrees vary. But if God, the creator of all, was one of the parents of Jesus, we could expect Jesus to look like everyone; African, Asian, European, Australian, Antarctican, or American. Which traits are emphasized in one movie or another are immaterial. To assume that God, or Jesus, looks like one of us is he very height of hubris.
I suppose when the gays portay Jesus as a white faggot you won't have a problem with that.