What people seem not to understand that for the most part moderates in that part of the world as still antithetical to western values; the ones who aren't aren't moderates are extremists just ones who we share values with.
Also as mentioned "family" and keeping power is more important to the moderates than pretty much anything else. The House of Saud is huge, where you have 1000's people of the royal family all of which have immense power, wealth and royal privilege you'll have a full spectrum of opinions from princes that get drunk and snort cocaine off the backs of prostitutes in a Macao casino to hard core celerics.
But what they all care about the most is to keep their name, title, wealth and power.