Copyrights, trademarks, and patents are not censorship, they are actually designed to encourage the exposure of information (copyrighted/trademarked/patented information is free to view, that's the foundation of the concept) by promising restrictions on third party usage of the information, which is a concern for creators who avoid sharing their knowledge for fear of theft.
The US doesn't actually have any religious censorship laws (if you know of any, please link them) that cares about offence taken by religious believers. If private creators are modifying their own creations to sell better to a US audience, that has nothing to do with US censorship.
The US grants irrevocable protections to the press in publishing even sensitive and national security critical information. The US press voluntarily consults the government on the national security impact of publishing sensitive material, but the government has no legal avenue to actually prevent the press from publishing it. Demonstrations of this are pretty famous, like the Pentagon Papers. There are also whistleblower protections.
The US has no censorship laws on political symbols like the swastika, IIRC that's specifically a German thing.
Fictional child pornography such as the commercial Japanese manga/anime/games you mentioned is explicitly allowed under US law; US law specifically carves out an exception for fictional works, and the US Supreme Court has cemented this with precedent. Note: these exceptions have definitely been weakened in recent decades by the "PROTECT Act of 2003".
Feel free to correct me on details, but a lot of censorship you list here just isn't happening in the West, and definitely isn't happening in the US where Google is physically and culturally based. The level and breadth of censorship simply isn't comparable to China's.
Furthermore, "moral based on your culture" absolutely matters. To portray censorship as okay because it's based on differing morals based on differing cultures is ridiculous. Would you approve of US-committed atrocities if it was based on US culture?
Edit: removed references to whataboutism because after reconsidering the context, I think the parent comment is less of a deflection that I initially perceived.
