The dove staff of the Illumaniti is referred to as the "virge", meaning Virgin and is an occult reference to Minerva.
The Roman Goddess Minerva is based on the Greek Athena, who in turn is based on earlier Egyptian goddesses such as Isis and Neith.
Minerva was "Immaculately Conceived".
Minerva is known as the "Ever-Virginal Goddess".
From Google search: Minerva. Various sites.
But I'm sure it's just coincidental. Those crazy Catholics! ALWAYS wanting to joke around and make people laugh...