I haven't memorized what verse belongs where in the Book of Mormons but can anyone say where it says about the Native American thing. I thought it said they traveled from Israel to here and became the Native Americans. I didn't think it said become part of the Native Americans. If it says "part of" the Native Americans then you might have a case.
You can disbelieve the Book of Mormon easily enough without working the genetics issue.
I go out and hike along the shoreline of Lake Bonneville, and could look up some studies on the people who lived along that shoreline. I've even been in some of their cave/homes. I don't quarrel with the science that pretty obviously shows that was ten thousand years ago. At least.
What one writer supposed in making statements sixteen hundred years ago, perhaps relying on some previous equally ill-informed writer wrote 3000 years ago is no obstacle to me. I think you've heard/said this somewhere above. . . . people can/will believe and write, often very piously, what they believe/want to believe. I can't change that. Or rather, I wouldn't if I could. A lot of people learn something sometimes and realize the old idea was not good enough. I think religion needs to accomodate people somewhat as they are, and I hope "faith" can move them along to better things when the need is seen. Even scientists operate on a principle of faith that we can learn and improve what we believe, for good reason, when that reason is seen. I realize my use of the term "faith" in that process might be different from someone who takes the stand that the Bible, or Quran, is somehow God-breathed/inspired/dictated "Perfection" somehow that doesn't need improvement. But consider this. All those scriptures are written in human language and interpreted in the context of human understanding, whatever the reader has. Maybe a lot of us don't understand very well, but even the best/smartest/wisest among us are still needing to learn a lot more. . . . and our understanding of those scriptures will change as our information/comprehension changes. So I don't hold with the "Infallibe Word of God" arguments pushed by very fallible human beings.
But I still like the quest of seeking better understanding. . . .
I consider with some due reflection that the Book of Mormon might even have been written by a seminary graduate of one of the United States' first colleges, maybe based on some backwoods storyteller who invented a lot of tales, and refurbished it all with early 19th-century Campbellite/Baptist preaching. I know it was a common belief on the American frontier of that age that the Indians were Jews/some of the Lost Tribes of Israel. A lot of Bible-reading backwoodsment saw similarities in the Indians with what they read about people in the Bible. And those "savages" were not really so backward. The United States Constitution reflects the organization of the Six Nations of the northeast, who sent representatives to a common council to regulate their allegiances/territories/practices. And they built homes in some areas, and raised crops like corn. And there were thousands of old Indian mounds scattered in the northeast and midwest woods that suggested huge cities in antiquity. A lot of that view has been displaced by the Oxford/British arrogance that imputed barbarian status to all other nations in our education now.
But I can say "I don't know" regarding unproven theories and go right on believing in Jesus all I want. What errors any have brought into the faith in ignorance, or whatever is not true, is not an issue with me and God. The only eternal faith incorporates all truth, and will eventually have to shed all error.
The reasons I don't just grab the naysayers' views and accept them is fundamentally rooted in a relationship with God. A relationship I see sometimes in people from other religions than mine.