I don’t know if it’s possible to reason it away.
It is possible to make it go away.
In my own case my hangups disappeared because my wife always saw me as a woman and I began to see myself how she saw me.
She never knew me before I transitioned and I think that was the most important thing.
The main thing that I learned from that is that how people see gender is incredibly sticky. Its in a part of our brain that is never designed to change.
The best way to describe it is that you see most daily things from a cache. Your eyes only see tiny pinpricks of light and the rest is reconstructed from memory. So when you see yourself you are seeing your memory of yourself.
Look up how mirror therapy can fix phantom limb pain http://content.nejm.org/cgi/content/full/357/21/2206
The same applies to gender.