That's a rather open-ended question. "The anti-Mormon campaign" can refer to quite a lot. Was there a specific campaign you are referring to, or just to the sum of all anti-Mormon activism since its inception? If you are asking about the former, more detail is needed before anyone will know what you're talking about. If it is the latter, you're asking about a very wide and multi-faceted series of individual and group efforts over the last two centuries.

Thankfully as we have entered the modern era, anti-Mormonism has shed the physical violence it once employed to harass the members of the Church of Jesus Christ of Latter-day Saints. In the first few decades of the church's history, many members and leaders were murdered by violent individuals and mobs -- most notably, the founder himself, Joseph Smith, Jr.

When not spilling blood, enemies of the church have primarily relied on propaganda to discredit and build public opposition toward the Latter-day Saints. This they still do today. Often disguised as an attempt to protect the feeble-minded from the brainwashing of the Mormon "cult," these efforts usually rely on decontextualization, distortion, and occasionally even outright falsehoods in order to demonize the LDS Church.

Many people have even gone so far as to write entire books about the evils of Mormonism, but these books are largely just parroted versions of earlier works, claiming to be a shocking exposé while really just copying the same claims that have been made since the beginning.

Once, anti-Mormons had the benefit of a geographical gap that was useful in order to maintain ignorance about what Mormons actually believed, because the Latter-day Saints were more or less isolated in Utah (as far as most people were concerned). As Mormons have become more incorporated into mainstream society both geographically and intellectually (in large part thanks to advances in communication), anti-Mormons have exchanged that geographical gap for a chronological one. Instead of warning people about the evils of a group of cultist isolationists that live "far away," they now achieve the same effect by preaching about an evil con that started "long ago." That gap is useful, because without prior experience to the contrary the eager crowds will usually take them at their word.

A platform against Mormonism that is not based on digging up the mummified allegations and grievances of the past is quite rare.