Thank you everyone for your comments and suggestions.
I'm sure that there are plenty of shibas that do not display such behavior at all. If you have such a well-tempered dog, just be glad and don't press your luck.
The Dog Whisperer episode that some of you were referring to was "Marley and Piper" in Season 4. I actually haven't watched the whole episode yet, but I saw a clip of it on You Tube. I hope to catch the entire episode during re-runs.
As for the comment about not taking bites personally, I know this rationally. However, not taking it personally is difficult for me, as I bet it's difficult for most dog owners. I try my best, but I don't always succeed. The ironic thing is that the more frequently he bites me, the better I get at not taking it personally. I bet I'd be pretty good at not taking it personally if I've been bitten as many times as Cesar Millan has.
As for the comment about picking my battles, I'm now trying that. I'm not entirely convinced that it's the best course of action. The way I see it, a dog owner should have full control of her dog under any and all circumstances. Whether it be removing a chicken bone from his mouth, tending to dangling poop, or cutting nails. But in light of the fact that I know I will get bitten, maybe it's not worth it to insist so heavily on a "perfect" dog, or at least not a perfect dog immediately. Today, Loki found a small piece of hamburger on the ground. I let him have it. It wasn't going to hurt him like a chicken bone might. So I decided to pick my battles and this wasn't one of them.
Regarding the comments about how Loki is still young and in adolescence, I think you are absolutely right. He has yet to fully trust us, and I'm slowly working on that. His behavior goes in waves: sometimes an angel and sometimes a devil. I think part of me was hoping that because we were on an angel wave for so long that maybe he was done with his adolescence. But that was silly wishful thinking.
Lastly, I did watch a couple YouTube clips of the SATZ method, which I've never heard of before. It seems very similar to clicker training, which Loki and I learned last summer. The one thing she did that I may try more of is talking to Loki. He's much smarter at picking up human vocabulary than I thought. Cesar Millan never uses words or encourages the use of words, because he says they don't understand. But Loki definitely learns certain words (like treat, walk, and sorry) even without us actively teaching him. I'm sure he can pick up more words as long as I use them consistently.