I go mute around my in-laws too! My FIL is rabidly, rabidly conservative, and I'm liberal. He knows it and likes to try and make baiting remarks when I'm around. Our conversations tend to go something like:
FIL: DH, do you get this magazine? It's printed by XYZ College, the only college that doesn't accept gov't money, so they're not brainwashed by useless liberals like every other college in America! *peering darkly at me*
DH: Yes, I do. Thanks!
Me: *completely silent, thinking "Yes, and we throw it away as soon as we get it too!"*
FIL: I'm so glad I can see through all that liberal crap they having going up in Washington! I can't believe we voted in liberal Senators/Congressmen/goats! *staring directly at me*
Me: *complete silence*
Someone else: So, FIL, what did you think about the game yesterday?