President Joseph Fielding Smith, as President of the Quorum of the Twelve Apostles who later became the tenth President and "Prophet, Seer, and Revelator" of the LDS Church, wrote the following that was published in 1954: "IF EVOLUTION IS TRUE, THE CHURCH IS FALSE."
I don't think there is any evidence in nature that bodily resurrection can happen. I think this is a misunderstanding of the resurrection.
When the false self dies—the ego, the old creature, the constructed personality, the illusory self, the separate independent idea of one's self, the man of sin, the son of perdition, the natural man, the carnal mind—when this is seen for what it really is, when it is revealed in truth, when it is put off, taken out of the way, when it is crucified and passes away, then the true Self is revealed in glory.