Folk psychology - should it be eliminated?

Astrology, alchemy, mesmerism and phrenology were all serious scientific subjects in the past. Nowadays they are either forgotten or no longer taken seriously. Eliminative materialists think that the language that we have been using to talk about our minds since the ancient Greeks is in serious need of reformation and that in the end neurology or other brain-based scientific insights will give us a better picture of what is in our heads.

Critics of folk psychology point out that it is mistaken about many important mental phenomena that are being successfully explored by neuroscience, such as dreaming, consciousness, some mental disorders, learning and memory. 

On the other hand unlike alchemy, or astrology we have direct and immediate access to our own thoughts and feelings. We might be mistaken about the external world but can we be mistaken about our own desires and sentiments?