Well...Sebastian Moran is not a canon character on BBC Sherlock yet.

Theoretically, one may attempt to write a profile of him using information from Conan Doyle's original portrayal (except that would really suck because he shows up extremely little and Doyle was not exactly a master of character development), or one can use fanon portrayals, except the issue with that is the undeniable fact that fanon portrayals vary quite widely and are also, as the name suggests, not canon, and therefore not accurate, and accuracy is something that I really value when it comes to writing things that are as delicate and subjective as psychological profiles.

Thank you! 

Well, considering he is a fictional character, figuring out his personality type would depend partially on facts and evidence, and partially on the viewer's interpretation of his character.

In other words, in the end, it's a matter of opinion.

I was actually undecided when it came to his personality type, as I was attempting to choose between INTP and INTJ (and to be honest, both types fit him rather well); I eventually chose INTJ because of a few differences between the two types that struck me:

INTPs do not like to lead or control people, whereas INTJs are "natural-born leaders"; they are willing to step up to lead if necessary. This seemed to fit Sherlock accurately. He seems to have a natural imperiousness about him.

A major difference is that INTPs tend to constantly second guess themselves, while INTJs seem more self confident. They tend to stand by their beliefs steadfastly. Sherlock fits in the latter category.

Both INTPs and INTJs value knowledge (obviously). However, while an INTP is content in simply understanding, INTJs have to know whether they're correct or not; basically, they need a definite answer to their questions, or they're not satisfied, which definitely fits Sherlock.

Also, whereas an INTP sees the world in terms of how it can be changed or improved, an INTJ focuses on observing the world and making associations between the information that is gathered, which fits Sherlock's method of observation and deduction.

Thank you very much, I am of the philosophy that if your work causes gross sobbing it must somewhat decent, so that is very flattering!

I appreciate the question, actually, since I have been meaning to address this issue for some time now.

Many believe that the difference between Sherlock and Moriarty is the difference between a sociopath and a psychopath. My opinion is that this is incorrect. A sociopath is completely incapable of emotion. They are unable to build lasting relationships with others due to their lack of empathy, sympathy, and capability to love. They often lie and manipulate for selfish purposes (although not all sociopaths do this), and are completely apathetic to whether or not this may cause harm to others. Sherlock certainly seems like a sociopath; however, he does not have a problem with having feelings. He has a problem with showing feelings. This is why he is more likely to have antisocial personality disorder than being a true sociopath. And he has built lasting relationships with others, notably John Watson, but also Mrs. Hudson, Lestrade, and on some level, Molly Hooper.

Moriarty, however, fits all the criteria of the sociopath that I have mentioned above. He is not a psychopath. A psychopath lacks discipline and self-control. A psychopath usually possesses a mental disorder that causes them to hear or see things that aren't there or to be unnecessarily paranoid, such as schizophrenia. The psychopaths are the ones who say they killed 20 people because they heard Brad Pitt's voice in their head telling them to (okay, absolutely horrible example, but you understand what I mean). A sociopath is different.

Now, as for whether or not sociopaths are born or grown, I believe both can occur. It has been proven that certain mental disorders are hereditary; for example, my mother displays signs of paranoid personality disorder and possible histrionic personality disorder, which she inherited from her father, and which I may have inherited (not acutely, it appears). However, it has a LOT to do with the way you are raised, your environment, and the nature of your childhood. Even if you are born with sociopathic tendencies, it may not be so severe if you were raised in a wholesome or loving family. That is why I believe Moriarty must have suffered through a lot of trauma in his childhood, as well as the other characters with mental disorders, such as Sherlock and Mycroft.

I apologize for this answer being so long and, to be honest, rather tedious. But I hope I answered your question, and explained some other things that you or other people may have been wondering about.

I think Mrs. Hudson is very important to Sherlock, however, he usually ignores her (because she's "ordinary") or unintentionally torments her (Mrs. Hudson is an admirably long-suffering woman to be able to deal with Sherlock's antics on a daily basis) and it isn't until she becomes hurt or antagonized that he actually realizes how much he cares about her. I could be wrong, however. Remember, in the scene which you are referring to, Sherlock not only saved Mrs. Hudson and punished her perpetrators, he also used Mrs. Hudson to hide Irene Adler's phone. But I believe that Sherlock cares about Mrs. Hudson because of his appreciation towards everything she has selflessly done for him.

But of course, he would never admit that. Because he's Sherlock and he so stubbornly puts on a constant facade of emotionlessness.