I would like it a lot better without the mention to the "West", which, as usual, is a code word for: "I want to pretend my point extend outside the USA but I have absolutely no knowledge of how true that is. I don't intend to do any research because that would demand efforts from me so bear with my casual imperialism". Queue the purely American historical lesson following.
Universal human rights is a very widespread belief and concept, extending to all continents and many, many cultures. It's not hard to understand why.
Greek philosophy did not happen in the USA and actually predates it quite a bit.