To add a bit to that: Greeks and Turks are pretty much physically identical, but one is seen as "whiter" than the other (guess which). The eastern end of the Mediterranean saw all sorts of people from northern Africa and southern Europe because of the ease of sailing across the coast, even with the relative low technology of ships from 3,000+ years ago.

If the jews of today, especially the ones that never left the Levant, are a faithful picture of their ancestors of ~2000 years ago, then it's not too much of a stretch to assume Jesus could've been white, or "white".

Side note: gotta love (/s) how much importance is still given to skin color. I'd love to see people throwing hex codes around instead of color names. "We don't like fceadc here!"