Not all the Illuminati or Free Masons are so illumned. Some have inherited their position and have no real wisdom only knowledge.
That being said, do you not think that the Illuminati's goal would be similar to everyones goal and that is to become illuminated and ascend to a higher reality?
Who wouldn't want that? The problem being, they may think or feel that they have superior knowledge, but that is all it is...knowledge. The true connection is within and that will always be the true wisdom.
Although they have had this secret knowledge for years and years, they don't truly practice it in the way it is meant to be practiced.