I would not tell the difference at all until I get to Jeruselesm . . . except for their accents. If you heard the people talking while walking through Europe, it would sound more obvious than it looks.
Looking at the geneaology of Jesus, it would not be far-fetched to say he is multiracial.
The bible presents 2 linages of Jesus. The following pertains to Mary's linage. The linage of Joseph would not be included in Jesus' DNA
Luke 3:23 Mary’s linage
Now Jesus himself was about thirty years old when he began his ministry. He was the son, so it was thought, of Joseph, Heli, Matthat, Levi, Melki, Jannai, Joseph, Mattathias, Amos, Nahum, Esli, Naggai, Maath, Mattathias, Semein, Josech, Joda, Joanan, Rhesa, Zerubbabel, Shealtiel, Neri, Melki, Addi, Cosam, Elmadam, Er, Joshua, Eliezer, Jorim, Matthat, Levi, Simeon, Judah, Joseph, Jonam, Eliakim, Melea, Menna, Mattatha, Nathan, David, Jesse, Obed, Boaz, Salmon, Nahshon, Amminadab, Ram, Hezron, Perez, Judah, Jacob, Isaac, Abraham, Terah, Nahor, Serug, Reu, Peleg, Eber, Shelah, Cainan, Arphaxad, Shem, Noah, Lamech, Methuselah, Enoch, Jared, Mahalalel, Kenan, Enosh, Seth, Adam, God.
Noah had 3 sons who each had wives. It is not know what the "race" of Shems wife would have been and it may have effected Mary's DNA is some way. Boaz's wife was Ruth who was a gentile and would have mixed with Boaz's DNA when Obed was born. I'm sure if you go through the list you may find others who were not of Jewish descent. I don't know how far back in the ancestral list would the genes effect what Jesus actually looked like.
Then there is the effect of the Holy Spirit. Did the Holy Spirit create DNA that merged with the DNA of Mary or was Jesus DNA only Mary's DNA. If the Holy Spirit created DNA and it merged with Mary's DNA that would also have an efect on what Jesus would have looked like. Just speculating, but I think the DNA from the Holy Spirit was like Adams. Adam name means ruddy or red. Perhaps Jesus' skin color was a mixture of Mary's color and a ruddy color.