There was a study done once, can't remember now where I saw it. But it showed that if you asked how people came to believe something, they would say it was based on facts and not feelings like 90% of the time. If you ask them how the people that disagree with them came to believe something they will say it's because others are ruled by feelings.
This is true for everyone. So the people that disagree with you will say it's YOU who is being ruled by feelings. None of us think we are of course. Truth be told we don't know very many facts for sure without the aid of feelings.
Anyone ever seen an atom? Doubtful, but if someone told you they don't exist you would be willing to argue how stupid and dumb and illogical they are. They don't have facts! You haven't seen atoms, didn't discover them, don't analyze them, but to you (and me) they are facts. But where did your facts come from?
Somebody, or several people you TRUSTED told you about atoms. What's trust? It's a feeling. So we feel the person told us about atoms is telling the truth, and they feel the person who told them they aren't real is telling the truth. A huge percentage of our knowledge is not firsthand, it's based on believing others, trusting others. I believe Neptune is a planet, but I never checked to see if it's there.
Where am I going here? Feelings are not an extraneous piece of our reasoning, they are a vital method of discerning truth from fiction. There is still an objective truth, but why we believe what we believe and they believe what they believe is much more messy than we are logical and they are emotional. Patriots fans as a whole are likely no more logical than any other large group of people as a whole. So it's unlikely logic explains the difference in opinions.