Tobar said:

Being a quarter Native American myself, I'm curious to hear what the views of Mormonism are today in relation to us.

If one were to read a preface to the Book of Mormon, he would read that the Lamanites, which in turn were descendants of Manasseh, the older son of Joseph, are the principle ancestors of the Native Americans. At this point however, the general consensus has changed without the importance of the message having changed. Many critics have pointed to the lack of genetic evidence of the relationship as a criticism of our faith. However, many things must be borne in mind when listening to this criticism. I am not an expert in genetics, but many factors could easily explain the discrepancy, including a dominance of other races (Mongoloid as the predominant modern theory), the substantial loss of Native American life to war and disease following the European invasions (up to 90% killed), etc. I encourage reading here.

http://en.fairmormon.org/Book_of_Mormon/Lamanites/Relationship_to_Amerindians

I also find it ironic that those who criticize our faith for believing this based on genetics are also quickest to dismiss other genetic evidence that contradicts their faith, such as evolution. Either one must be open to the whole possibility or disregard its legitimacy more completely.