Of course they don't do that. However, that is certainly not the reason why the relations are so bad. The US government has absolutely no problem in having very good relations with government/regimes that do those things and worse (Saudi Arabia?).
The thing is that whenever a country decides to do something that the USA don't like, they begin hostilities in different levels until they a) get what they want (almost never happens) or b) completely destabilize the country.
Not lately at least. While I think Lybia was a big mistake, I tend to blame France more than the US. Iraq, Uganda, Somalia and Yemen are the wars the US is involved in to my knowledge, some of them not actively anymore. Say what you will about Trump. Him not starting wars seem to be an exception, although I don't think Obama is responsible for the Lybia situation. Politically perhaps as he omitted congress, but I still wouldn't call it a war that he started.
Hell, Gaddafi was air-striking civilians. The African Union was against foreign intervention and today civilians probably suffer more than under the regime of Gaddafi. Hard so say what would have been the right thing to do. We still feel the repercussions of that...
At no point in the last 40 years has the US government held a higher moral ground than the Iranian government. The USA has killed far more innocent people under far worse pretext than any other nation on Earth.