That's my suggested word for oblivious to irony.
An example. Republican Congressman Eric Cantor, in Israel as part of a 56-member Congressional contingent summoned by AIPAC, repeating a theme developed there to criticize US foreign policy:
"I’m very troubled by that, because I don’t think we in America would want another country telling us how to implement and execute our laws."
Maybe I need to combine oblivion with gall. Yeah, needs work. From Philip Giraldi's Sept. 3 column.