Politically Correct Card 

The act of using the term Politically Correct in an political argument or debate in an effort to cover for not stating one's unpopular opinion. Mostly done out of cowardliness to avoid being criticized for sharing their unpopular opinion for fear of being ridiculed or in an effort to cheaply stifle someone's well explained opinion.

Being confronted with an well argued opinion opposed to Paul's point of view, Paul decided to play the Politically Correct Card instead of giving a proper counter argument.

Politically Correct Card by Libertatis June 9, 2016

politically-correctardation 

The attempt to please all sides even to the detriment of one's own wellbeing.

NATO's politically-correctardation is doing the world a great disfavor.

politically-correctardation by Marvelboy May 6, 2013