The USA doesn't take it quite so far but it did strongly regulate the socio-economic imperialism of Communism, leveraging State resources to attempt to convince socialist leaders to kill themselves (MLK) or just by assassinating and imprisoning them (Black Panthers). The State protects people from ruining their lives with marijuana, or from ruining the justice system by telling people walking into a courthouse about Jury Nullification. These needs require the regulation of speech (can't tell people Communism is super awesome and you should unionize and strike) and business (can't open a casino in downtown LA).
For the record gay sex isn't harmful to the fertility of the state and shouldn't be regulated, nor should speech about Jury Nullification, I was just making a point about both nations.
Yes.
Your first paragraph is about motive, which isn't enough to make those two actions the same.
Your second paragraph is just bad things the US did? I don't see how it's relevant to the question.