However, even that emphasis, were it the sole message of the Church (and it is not) does not exclude the cross. Note, for example, this excerpt from the Christmas message of Gordon B. Hinckley, past President of the Church:
We honor His birth. But without His death that birth would have been but one more birth. It was the redemption which He worked out in the Garden of Gethsemane and upon the cross of Calvary which made His gift immortal, universal, and everlasting. His was a great Atonement for the sins of all mankind. He was the resurrection and the life, "the firstfruits of them that slept" (1 Corinthians 15:20). Because of Him all men will be raised from the grave. 
Other statements by Elder Bruce McConkie, who is sometimes used as evidence for this criticism, show he was not as one-sided as critics imply:
And now, as pertaining to this perfect atonement, wrought by the shedding of the blood of God—I testify that it took place in Gethsemane and at Golgotha, and as pertaining to Jesus Christ, I testify that he is the Son of the Living God and was crucified for the sins of the world. He is our Lord, our God, and our King." 
The official training booklet sent out with missionaries includes this statement:
The Atonement included His suffering in the Garden of Gethsemane as well as His suffering and death on the cross. 
As a fourth example, consider something that recently came from the Church press:
Jesus' atoning sacrifice took place in the Garden of Gethsemane and on the cross at Calvary. In Gethsemane, He began to take upon himself the sins of the world…. The Savior continued to suffer for our sins when He allowed Himself to be crucified.