The chance of a conviction is zero and I don't need a link other than the one provided by the OP (all quotes are from that link).
The “fraud” charges have nothing to do with misuse of funds which is what apparently some people think. According to the link, the charges relate solely to the teachings of the church.
“Two summonses direct Thomas S. Monson of Utah, the Church president, to attend a March 14 hearing in the Westminster Magistrates Court of London to answer accusations that key tenets of the LDS faith are untrue and have been used to secure financial contributions.”
“Phillips listed seven Church teachings that he claims are demonstrably false, including the origins of the Book of Mormon and the Book of Abraham, also part of the Church's canon of scripture. "These are not statements of mere 'beliefs' or opinions or theories," he wrote. "They are made as actual facts and their truthfulness can be objectively tested with evidence."
One of the teachings alleged to be fraudulent is the creation account in the Book of Genesis (yes, the same Genesis account believed by many Christian denominations):
“Phillips challenges the biblical Book of Genesis, alleging it is fraudulent to assert that "all humans alive today are descended from just two people (Adam and Eve) who lived approximately 6,000 years ago." In a supplemental filing, Phillips argued, "Anthropology, history and DNA studies prove this to be impossible."
The charges are frivolous and will never result in a conviction. Does anyone seriously believe that a Church would be successfully sued because of its tenets? Will Christian churches be sued because they cannot prove the elements of their faith? It will never happen.