Is it normal that I think women are mentally deficient?

That's an interesting editorial. How does it square with the fact that women do better in college than do men? What you perceive as "irrationality" in women is an expression of the important place feelings and emotions have in women's lives. Men tend to act more like wind-up robots and have difficulty in an affective atmosphere. They are sadly alienated from their own feelings. If you have such distaste for women, even lack of respect, you might consider dating members of your own sex, with whom you may be much more comfortable. The challenge in life, sonny, is to bridge the gap and relate to folks who are different than we ourselves are. And these days, many are not up to the task.