Think about where he was born and raised, and you'll understand what he looked like - why would he morph Asian or European features?
jesus "christ" is the christian version. compared to jesus of "nazareth" which is middle east
the christian version draws him as more of a western (Caucasian-euro) looking man.
where as nazareth is more middle-east imagery
looking at stats of christianity based on population numbers and % you might be surprised that brazil, mexico and philippines are tops..
so 'jesus' in future religious books may be drawn out as a south american or southeast asian or yes middle eastern
heck even Nigeria, Congo DR, Ethiopia, South Africa are in the top 10, so dark skin can become a feature
but chinese/japanese are not really in the pickings of religious followers that would take on a jesus rebirth story. so no east asian morph
as to which country will spark the story of a rebirth and draw images of such reincarnation in the future.. well that would be some country that went through the most turmoil and then changed to a prosperous region which they will say was done by one man's impact on the geopolitical change