The Illuminati: are they real?
There have been several groups by this name. But in connection to what conspiracy theorists like to claim, no.
Is our world so corrupt?
There is often corruption at the top since the job attracts that sort of person. Overall or in the way conspiracy theorists like to claim, no.
Is the NewWorldOrder real?
of course.

As for conspiracy theory wise. Here is a little bit from wiki.
"During the 20th century, many statesmen, such as Woodrow Wilson and Winston Churchill, used the term "new world order" to refer to a new period of history evidencing a dramatic change in world political thought and the balance of power after World War I and World War II. They all saw these periods as opportunities to implement idealistic proposals for global governance in the sense of new collective efforts to address worldwide problems that go beyond the capacity of individual nation-states to solve, while always respecting the right of nations to self-determination. These proposals led to the creation of international organizations, such as the United Nations and NATO, and international regimes, such as the Bretton Woods system and the General Agreement on Tariffs and Trade, which were calculated both to maintain a balance of power in favor of the United States as well as regularize cooperation between nations, in order to achieve a peaceful phase of capitalism. These creations in particular and liberal internationalism in general, however, would always be criticized and opposed by American ultraconservative business nationalists from the 1930s on."
Are the Vanderbuilts and the Sinclairs and all the old families plotting to take over the world?
What?
Were the shootings this past week staged???
No...
Are we all doomed?
no more than normal.