When someone takes umbrage when some one brings up a {social justice} issue in a way that reminds you of an old racist dad. Someone using words with latent homophobic undertones, racist[micro aggression}s or over the top negative stereotypes of racial or national identities. Usually dad style is delivered in an indignant, self serving and condescending way.
Carol O'Conner played Archie Bunker on the TV show All in the Family. He invented dad style.