Most everybody fears death to a degree. The individuals who assert generally are likely either unequipped for human feeling or deceiving themselves. It's customized science hard-coded into our DNA.
One thing individuals neglect to acknowledge is that it is valuable. Dread is a survival outlook developed through our predecessors over centuries. It prevents us from going for broke and helps keep you and your friends and family sheltered.
The issue with fear is that if left unchecked it can overpower the mind.
The secret to beating it is to compartmentalize it. Sherlock Holmes likes to call the mind a "cerebrum loft," where you hold furniture and must keep up a spotless domain. Dread unchecked is an extraordinary enormous mess that attacks and overpowers your loft.
You will likely pack it into a little zone of your cerebrum. Regard fear as data, and spotlight on what you have to do straightaway. You clearly are not going to cleanse it in profoundly unpleasant circumstances, however in any event you can set it to the side while you deal with the issue.
Even though fear of death to me is not a "stupid fear" it is an important fear. I also agree that a lot of our fears are encoded inside us. You haven't told us what you fear, is it fear of death for you?