I also find that I really try to get my head around how other people think and feel and when they are contradictory, it leaves my head spinning because I try to work out the underlying consistencies that can produce apparently random outcomes.
I care tremendously about internal coherency of ideas and of action. I'm not certain if I can put into words the reason why, but I couldn't be me if I didn't at least make the sincere attempt.
I will add that I find people who have internal variety interesting, but that is different from contradictory. Having contrasting, but still internally coherent aspects to personality is just like a symphony with contrasting themes. What wears me out are people who are moody, who can behave differently in the same context depending on a fleeting whim. Also, people who will express a desire to reject elitism and then in the next sentence be dismissive and look down on someone. I went to a musician based conference where many speakers jerked around their ideals which were incompatible with their behaviors and desires in terms of power and success. My head was literally spinning by the end, and I really can only take so much of that. I had to introvert for a longtime to get my head around it, so it takes a toll, but I don't dislike the people because I understand they are under an impossible set of requirements to be and to act.