I believe the Coens are conservatives. They aren't real out-front with it, and they make fun of it plenty, but when they do make fun of conservatism, it's gentle.
Their movies are very good, I agree. There isn't one I didn't like. I've watched The Big Lebowski several times, so much so that I'm a little tired of it.
Fargo and Miller's Crossing are re-watchable.
Raising Arizona is only good on the first viewing, IMO, FWIW.
I still like to watch “Raising Arizona” every few years. It’s probably the best movie Nicolas Cage ever made. Have you ever watched “The Man Who Wasn’t There”? Another good Coen brother’s movie.