Is American culture (a loaded term because American culture is the product of numerous sub-cultures) better than all other cultures because of our economic strength? If not, then what are the objective measures that define a "good" culture.
I'm very glad slavery doesn't exist, because I value equality and freedom. Yet still, I'd ask who is the authority that determines that one culture is better than another because they hold that value?
Europeans via too many systems to name here (e.g. colonizing much of the world, forcing religion on indigenous people, slavery, apartheid, etc.) imposed their cultural values on the world and then held them up as the best.
Ultimately, it's not right to conflate what you believe with what is objectively good. It all depends what your solving for (e.g. profit, equality, harmony, etc.)