According to this article,
ent.sina.com.cn/m/f/2004-11-11/1019562151.html

Fahrenheit 9/11 is not eligible for Best Picture (Drama).
-- because it is a documentary.
-- there is NO such category in Golden Globe.

Passion of the Christ
-- it is NOT eligible for Best Picture (Drama)
-- BUT redirected to Best Foreign Film (because there is NO English language)

Will Passion win the Best "Foreign" Film?
-- because it is probably watched by more people than the other foreign films
-- because quite a number of people are religious

Or ...
-- do you think the foreign press will vote something different?