You know I never even saw the word "prevarication" (to engage in this means to deviate from the truth/distort) til several years ago -- in a Mormon context.
(I guess that's why when you put the word "prevarication" in a Google search alongside "Lds" you "only" get 58,300 hits...even though Lds are just 2% of the American population and constitute the slimmest of slivers worldwide)
Perhaps you need to read more widely. According to my dictionary, the word prevaricate had appeared in English by 1631, two hundred years before the Church of Jesus Christ of Latter-day Saints was organized.
The word was not invented to apply to Mormons, nor has it been applied exclusively to Mormons, your limited acquaintance with it notwithstanding.
(Your use of Google is puzzling. Is it supposed to prove something?)