Potentially higher EQ might lead to an increased interest in social interactions leading to Church membership; and/ or a more social/ less abstractly-systemizing (lower SQ) outlook on the world leading to a more anthropomorphic and animistic interpretation of the world.  
 
This makes sense. Furthermore, I suspect that people with high SQ can conceive of the world running as a system, according to the laws of physics. High Systemizers see patterns in things that might seem chaotic and requiring of a metaphysical explanation to low SQ types. 
 
EQ is pretty much identical with the Big 5 Trait Agreeableness 
 
Really? I am high in both SQ and Agreeableness. Am I just weird, or perhaps this is the B-brain that Baron-Cohen talks about? I think EQ may be narrower than Agreeableness. For instance, Agreeableness doesn't require facility in reading the emotions of others.

What about face men?

In more than a dozen studies, they've documented that breast tumors in African-American women tend to be more aggressive, less responsive to treatment, and more likely to strike before menopause than breast tumors in whites and other ethnic groups. 
 
All this bio stuff is just a cover for the fact that cancer, too, is caused by racism!

How about mining Saddam's brain, then executing him?