And I would say that inside the US, there is no persecution of Christians (though there was attempted genocide of the Mormons back in the 1830s-40s, and if the Utah War had gone bad, there would have been a genocide there as well).
In China, the Middle East, parts of Africa, and regarding the non-Orthodox Christians in Russia, I completely agree that there's persecution and in the case of the Middle East, genocide.
Also recently in Venezuela there was the case of a Mormon man who went there to marry a native Venezuelan Mormon woman he met online, and he was put into prison for suspicion of links to the CIA and gun-running, which could be connected to the stereotype of Mormon connections to the CIA and FBI. The Mormon guy seems to be completely innocent of the charges, and solely put into prison because of his religion. I haven't seen an institutional persecution of Mormons in Venezuela though.
Is this really a stereotype?