Well first and foremost I don't see how one could "understand it all" in this forum. But he goes nothing.
Your date for the creation of the Illuminati is correct, although your facts are incorrect. Adam Weishaupt didn't start in Freemasonry, in fact he himself never joined. What he did do was recruit from within Freemason Lodges and was quickly discovered as a user and his member booted out.
Also what you don't say is that his little band, was rooted out and suppressed by 1787 and completely died out by 1791.
As one poster put it Occult does not mean evil or Satanic, etc. It simply means that which is hidden.
Some Freemason did study many things and were usually men of the enlightenment that did seek knowledge, scientific and spiritual. The Illuminati's goals were not similar as they sought to infiltrate the government and the Church and cause chaos in order to foment unrest. Adam Wesihaupt and his inner circle believed that the Church was too involved in government and that monarchies were a bad thing. They also be lived that religion was mostly superstition and mumbo jumbo and this includes, things like the devil, etc.
Just for your own edification you can read all this in Adam Weishaupt's own words as he did write a book while in exile and basically apologizes for his attempts to disrupt the government. His book is called Diogenes Lamp.
The Freemasons are sworn to be peacable citizens in the country they live and to obey the law, so definately not the same ideals. What Freemasonry teaches is that we should always be in search of kknowledge There were many great thinkers that were Freemasons but they always paid due homage to Deity and never sought to put science over God.
I suggest you go here: http://www.masonicinfo.com/primer.htm
and here: http://www.masonicinfo.com/illuminati.htm
for more information on Freemasonry and the oh so mysterious IIlluminati
I would also suggest a few books on the subject and to use the Internet only as a ccursorytool. Mainly bbecauseany boob can post a site and say anything they'd like with no basis in reality.
A few good newer books are:
Freemasons for Dummies by Chris Hodapp
CConspiracytheories for Dummies by Chris Hodapp
Solomon's Builders by Chris Hodapp
Is it true what they say about Freemasonry by Art DeHoyos and S. Brent Morris
For a more spiritual aspect see The Builders by Joseph Fort Newton, Baptist Minister and Freemason
Just know that those that speak oput against Freemasonry were/are by and far not members and claim to know more then all FFreemasons..make sense? Of course not. Or they have some religious or political agenda. Usually it's just and insane fear of that which they don't know.
The Internet is no place to