Pretending one is offended, insulted or generally affronted by something which they really are not. The faux outrage is usually expressed publicly because it is done in the service of an agenda. Those expressing faux outrage usually labor under the delusion that no one can see through them, but most can.
The professional protesters went down to City Hall today to express their opposition to bill 1234. They were drinking coffee and playing marbles until the tv station got there, then all three of them sprung into action and began waving signs and displaying faux outrage after the camera was turned on.