Their satanic majesties

Please allow me to introduce myself
I'm a man of wealth and taste
I've been around for many long years
Stole many a man's soul and faith
And I was 'round when Jesus Christ
Had his moment of doubt and pain
Made damn sure that Pilate
Washed his hands and sealed his fate
Pleased to meet you
Hope you guess my name
But what's puzzling you
Is just the nature of my game...