I feel inferior for being empathetic and a feeler when most of my family are cold and logical thinkers.
How do you feel about being different than the rest of your family?
It is a very tricky situation for me because I feel inferior and out of place
While different people may approach life from different perspectives, either a more logical or more emotional one, neither of these perspectives are better than one another. You shouldn't feel inferior for being more emotional and empathetic towards others. Having empathy demonstrates having a strong emotional IQ and this is just as important as being a logical thinker.
I just feel like I don't belong in this family.
It is fine to feel and act different. That doesn't make you any less of a family member.