I think so. I hesitate to speak for the other countries of the world, since every time I travel I'm surprised to see how different perceptions/assumptions are elsewhere. But it makes sense that all over the world we are making this progression.

I think the followers of each of these cultural factions may mature to keep evolving with the overall trend, but the leaders won't. Leaders want everything to stay such that they have the most power. The don't want to have to share power with other leaders. That's why they are the ones leading the people into cultural war, and stirring up trouble every time the people start getting along with those of other "tribes."