I think every Yonko has a skewed world view on Change and Equality
BM: Equality via forcing people of all species to grow large with her, with her at the top
Kaido: Equality via war and violence, with him at the top
Blackbeard: Equality through Chaos, with him ruling the world
Shanks: Equality through Order (i.e. his potential dealings with the WG, among other goals), not sure if his goal is rule anything though.
This is why I think Shanks and Blackbeard are heavily tied to whatever comes with Rocks next. He wanted to be king of the world, and these may see their own worldviews as a continuation of this by means of Order vs Chaos (Red vs Black).
Might be a little ridiculous, but we'll see how they turn out...
Then you have Luffy, someone who wants to purely make the world equal with no ruler.