Several things are coming together here. If we take the last first, that will shed a lot of light on the rest. When you get to the end of that clip, you'll see that it's produced by a man named David Icke. I began to suspect it about 2/3 of the way through, when the clip began talking about the "13 bloodlines" that supposedly control the world. This idea is a hallmark of Icke conspiracy theories.
David Icke believes that
a race of vampiric, shapeshifting, extraterrestrial reptiles has been controlling the human race in secret for thousands of years. He is convinced, for example, that nearly every US president and British Prime Minister has been one of these aliens, and that the few who were not were under the reptiles' control. The reptiles use their shape shifting powers to appear human, but they must drink human blood to maintain the disguise.
So if the video clip looks a little crazy, that's because it is crazy. Icke is (in my un expert opinion) a paranoid schizophrenic. However much of what he writes is just good old-fashioned right-wing conspiracy given his own mad spin.
The "Illuminati" were a semi-mystical society similar to the Masons, founded in Bavaria (now part of Germany) on May 1, 1776. Some believe that their purpose was to overthrow the Bavarian government (in fact some believe that their purpose was to take over the world!). Others believe that even the Illuminati were just one visible manifestation of a much older and deeper conspiracy (Icke is one of those). Of course it's nearly impossible to prove any that from any of the organization's papers. Whatever the case, they were banned by the Bavarian government in 1785, and the group faded away soon after that.
That's what history says. Conspiracy theories ever since have insisted that the Illuminati simply went underground, and have been operating in secret ever since through various front groups - it seems to work out that the "front groups" for the Illuminati are whatever groups the theorist in question hates or fears the most. The Illuminati have been said to be behind the Catholic Church, the Masons, the Council on Foreign Relations, the Jewish Banking Conspiracy, the Nazi Party, the French Revolution, the British Royal Family, the World Bank, Satanism, Communism, Feminism, Witchcraft, and fluoridated water, just to name a few.
Most of these conspiracies use a particular type of thinking that you can see clearly in that video clip. You might call it "If it looks alike then it's the same." In other words, if you can find some similarity - any similarity at all - between any two things then they're connected either obviously or secretly. Thus anyone who uses a star (or even a five-sided figure) as a symbol is a Satanist, because Satanists use stars as symbols.
Once you realize that humans are so good at finding patterns that we can see bears and dragons in the night sky, you understand just how far someone can push this way of thinking if they want to. And those who suffer from paranoid delusions (such as David Icke) are especially good at this: anything at all can be reinterpreted in light of their paranoia. Even the absence of evidence simply proves how powerful the conspiracy really is.