The actual history of the Illuminati is more interesting than all conspiracy theories. In fact, the Jesuits in the 18th century in Bavaria existed like people think the Illuminati does today. The oppression is what incited Adam Weishaupt to create a rationalist secret society; based on the Jesuit structure and thanks to Baron Knigge, an improvement of the Unknown Superiors of the Strict Observance. A system that was "impeccable" according to some scholars in terms of its metholodgy and logic; nothing to do with mysticism.
The Illuminati was against the occult, mysticism and the Rosicrucians. And the only two musicians ever actually associated with the Illuminati were Beethoven and Mozart (or at least those around them were Illuminatus).