Assuming I can´t think straight because I take social and emotional consequences into consideration when making decisions isn´t very sound reasoning to say the least.
But back to the original question:
example #1: As a child I got so upset whenever injustice was portrayed in a book or movie that it caused almost physical pain and in a way I still do. I am not so much talking about social unjustice in general as "big picture" circumstances but about specific cases of ill treatment of a fictional character based on a false perception of a situation (the good old Hitchcock style wrong man)
example #2: I have a friend who is very much into esoterics and don´t even try to argue with her. I accept her for the lovable bucket of crazy she is and stay calm. But my ex, who is a math student, a conviced atheist and a rationalist has this peculiar habit of defending homeopathy and this got us into more than one ferocious fight ... it is not so much the different opinion that got to me but the fact that someobody I had pidgeonholed as a very rational person defended something I still consider highly irrational - it was the rupture in my world view (or my view of him) that shook me up! Puzzle pieces not fitting together ... ahhhhh!
So at least for me the answer would be: cognitive dissonance!