Blake T. Ostler argues that DNA does not disprove the Book of Mormon.
Blake T. Ostler, "DNA Strands in the Book of Mormon," Sunstone (May 2005): 63–71
The Book of Mormon itself does not require the view that all Amerindians are of Israelite origin. Even in the absence of DNA evidence, the book is best read as a testimony (not a history) of an ancient people who occupied a very limited area but had unfulfilled hopes of occupying much more. Indeed, it is best read as assuming the existence of others already in the land with whom the Nephites and Lamanites interacted, intermarried, and became assimilated. Since many have read the book that way long before the advent of DNA evidence, it is no leap of faith nor expression of bad faith to continue to do so.