These are pretty serious in a sense that they could qualify as Crime Involving Moral Turpitude (CIMT). If the convictions are reversed, it will be up to the CO to interpret them. Because the victims (alleged or actual) are journalists, this can even fall into some other "Have you EVER" question categories. If the threats and harassments were of purely private matter, you might be able to overcome the problem, depending on the exact nature of the crimes, but if the threats were over ideological, political, let alone religious, reasons, your chances to ever legally set foot on the US soil are low.