You can't ask to be created an Illuminatus.
Instead, you have to be chosen by the society's alchemical magus, Grandmaster Tbombz Trismegistis, S.T.D., who can, among other wondrous feats, instantly transmute any common object into a gold, vibrating butt-plug, which you will have to insert into your
sanctum sanctorum before the Sacred Altar of Baphomet. You prove your right to belong, i.e., of possessing
Virtus and enlightenment, by not allowing it to slip out during your many trying and terrible tests of worthiness with its Great Red-Robed Priestess (and Grand High Exulted Mystic Ruler of the Royal Order of Raccoons), Madame Goodrum, CSN, MFT.
Bon Courage!