As I said, America is a cultural hegemony at the moment. It does export a lot of its culture, but far from all of it’s culture.
I think the direction the world is moving is a bit of a mixed bag. With LGBT stuff, it is moving far to the left very quickly. With things like workers rights it has stagnated or moved rightwards somewhat. It’s true that the Western world has seen the emergence of the alt-right in the past decade. But there is an alt-left or far left that has also been gaining in prominence. Generally just deviation from the political center in both directions.