Factions: From Madison's Time to Our's

Madison's definition of faction, what was it and what did it mean?
According to Madison a faction is a group of citizens brought together by a common interest and/or belief. But is that always true, isn't it possible for a faction to be of non citizens or be joined together by not a common belief, but a common non-belief.
questions:

• Are faction solely for "citizens" or did Madison mean all peoples?
• What is formed first, a faction or a party?
• What do you mean by "adversed to the rights of other citizens," do you mean people against giving rights or the rights of a certain other people, or do you mean something else entirely?
• Can a community, region, state, country, etc. become a faction or does the term only encompass the peoples' interests and not the place they are?
• Were faction of high importance during the creation of the Constitution?

For my own definition of a "faction" I would say that it is a group of people, brought together by one common interest, value, moral, idea, etc. that is in someway politically based ( this is of course talking about a political faction).
I think that there are still faction with in our American governmental system and they do play a huge role. Most parties in our government today are either a faction or faction like in some way. Political faction have had huge amounts of influence with in our government; factions are the reason for sub divisions with in parties, because there are different beliefs outside of the parties core belief. Today one of the most well known factions is the Tea Party movement, TPM, whose main goal/ core belief is to get Obama out of office and replace him with someone who, in their opinion, is fit for the office of US President.