Wow. There's a lot that could be said here. In a very straightforward way I could answer just the issues the SAB brings up with this chapter (ignoring the cross references to the Book of Mormon) and call it a day. But of course, I'm not going to do that. This is a very important chapter of the Bible, if for no other reason than it's commonly believed to be so.
Which is definitely one of the issues that needs to be discussed. Some people have suggested that what we commonly call the "Ten Commandments" are not the real Ten Commandments. Well, it depends on what you mean by "real". In one sense, it is true, and important to note that the words "Ten Commandments" don't appear in this chapter of the Bible. You can judge for yourself how vital that is to their understanding, but for myself, I think the vital aspect of this passage isn't about the label one puts on it, but its context. "Ten Commandments" is a phrase that, while the Bible lacks it in this immediate context, still refers to this passage. I'm a firm believer in the concept that usage determines meaning, and when a person says the phrase, 99% of the time, they are referring to Exodus 20, even if they aren't fully familiar with the ins and outs of the content of it. (Check out this post in Steve Wells' blog, which I just discovered the other day. If you're wondering about the claim made in the title of the post, my short answer is that Jesus wasn't attempting to name them all.) Arguing that it is not acceptable to refer to this passage as the "Ten Commandments" is just a non-issue, as far as I'm concerned.
As to the numbering of the commandments, I think that's also a red herring. Although my preferred understanding is essentially in line with the Protestant numbering system (and I'll use it to refer to the individual commandments in the future), I don't think numbers matter so much as understanding them well. Is there one commandment to not covet, or is there two? I don't care; so long as you understand that coveting is considered wrong, you can subdivide it into eight coveting commandments (Don't covet your neighbor's (A) wife, (B) house, (C) land, (D) manservant, (E) maidservant, (F) ox, (G) donkey, (H) various other possessions that are none of the above). There are various commandments and sub-commandments here, and the numbering of them is not important, only the meaning. Jesus of course claimed to have summed up all of God's law in two commandments (Matt. 22:36-40).
Tempting though it may be to just leave the accusations towards the Book of Mormon dangling here (I don't personally believe in the book, nor in the faith built upon it) there is something that I think should be said in the book's defense. Steve Wells' commentary on the Book of Mormon adds two categories that are not found in the Biblical commentary. Those two categories are "Plagiarism" and "Changes in the BOM". I can find no commentary on the nature of these two categories, but as far as I can tell, the former is concerning passages in the Book of Mormon that completely synch up with passages in the Bible, while the latter is passages that have been changed from the original version of the BoM. I'm not sure what to make of the latter category, as some of the changes quoted seem rather minor, but I can see that some are indeed significant. The former category is one I have a big problem with. Sure, as skeptics, we can approach the BoM as nothing but a cheap knock-off off the Bible, and as such, we can point out some striking similarities and call it "plagiarism"; but if the BoM is really in essence written by the same God that wrote the Bible, then can't it be chalked up to similarity in writing style? I've got reasons for doubting the validity of the Book of Mormon, but its similarity to the Bible is not one of them.