The KofC's politics are the mirror image of the hierarchy's dark politics - only the hierarchs can't say those hideous and repulsive things in public.  All these associations with really dark political forces - especially on the political right-wing - reflects almost perfectly the political activity and ideology of the hierarchs that is always just below the radar of most Catholics in the pews.  

Chief among them is the hierarchs' anti-feminine, misogynist ideology that demonizes and tries to shame all things female - and to support their self-loathing homosexuality which they must be suppressed for public consumption.  

[The hierarchs' sappy adoration of the Virgin doesn't count because they have leached all the real humanity/femininity out of the Mother of God - making her the perfect feminine placeholder they need for their pantheon of the demigods they worship.  Don't look for the Gospel to have any sway with them.]