I know you don't mean to sound this way, but your comments come off in very bad taste -- we're talking about the murder of a 16-year old girl. There's nothing positive that this country needs to "learn" from Iran.
I am sorry if you think that this country is above all the others in respect to morality and right and wrong. It certainly doesn't take a genius to spot the flaws in our society. Just look at our prisons and crime rate. We need to learn from someone because we certainly aren't doing the job.
All countries have interlocking strengths and weaknesses, and all have flaws. But on balance, our flaws are a lot smaller than the rest of the world.
I DO "think this country is above all other in respect to right and wrong." I really don't follow your example of crime rates. Totalitarian societies are known for extremely low rates of street crime (though they have very high rates of "crime" by government officials against the people). Do you think we should go that direction? I don't. Do you think we should hang teenagers for being mouthy? I don't -- it's un-American.