You are giving him too much credit (i.e., assuming he has a well thought-out coherent connection to those symbols instead of the being vibes based history). The original crusaders were Catholics, which Pete is not. The current Crusade is a Protestant Crusade and he sees himself as a Protestant Crusader (notwithstanding the catholic imagery he got permanently etched into his skin). The Protestant crusade is along the lines of what Nakoichi laid out - they conscript Jewish foot soldiers as functionaries within their Protestant theology to crusade the holy land for the protestant end-times which requires "Jewish" control of the land.