Why Should We Expect to Find Jewish DNA in Native Americans?

To test the Book of Mormon's claim that Israelite colonists arrived in America anciently, flourished as nations, and their descendants survived in the people without a name, generally called the Indians or native Americans, it is proposed that we could just check the DNA of some of the local tribes that still exist in out-of-the-way places, and compare them to samples of DNA from modern Jews, and see if the Book's true or not. Simple, eh? Yes, the essence of an experiment designed by a grade school child. But as with many things in life, the real situation is just a bit more complex.
Let's consider exactly what the Book of Mormon says in terms of DNA contributors, male and female. I mention this because, as unbelievable as it is, some 'scientific' [discussions] flatly ignore this little datum.

Following is a little worksheet listing the genetic contributors of the Lamanites. I will note the racial origin of all those we can identify [in square brackets], the rest I will indicate with three question marks [???]
The Jared party -- Book of Ether:
[???] Jared
[???] The Brother of Jared
[???] Other individuals of the Jared party, about 22 ( Ether 6:16)
All we know about the Jaredites comes to us from the record left by the Nephites, their successors.
Some will object that according to the Book of Ether, all the Jaredites were killed but two (Ether 15), but this is the understanding of the author of the Book of Ether, who could not have known everything that happened on the entire continent. [Webmaster's note: There is no reason why many others could not have fled, and we later find many Jaredite names still cropping up in later Book of Mormon times, showing that Jaredite influence survived.] "


Tracing Your Jewish DNA For Family History & Ancestry: Merging a Mosaic of Communities