I think Lady Gaga's song Judas is about how she fell in love with a man who has betrayed her so many times yet she could still see the truth between the lies thus is the reason why her make up creates the all seeing eye or the eye of horus. But Like all Humans she was blinded by Love so she couldn't see what was really going on between Judas and Jesus. Thus Jesus was killed and in the end Lady Gaga was whipped to death because Jesus died because of the man she thought she loved.
She isn't apart of the secret organization known as the illuminatti or the illuminate the soul purpose of the group is that they want the gain a superior knowledge of God. The reason we know she isn't a part of the group is simple. The lyrics to her song. If she was part of the illuminate she wouldn't say "Jesus is my virtue" Virtue means -noun
1.
Moral excellence; goodness; righteousness.
2.
Conformity of one's life and conduct to moral and ethical principles; uprightness; rectitude.