I "suffered" quite a bit from this when extracting myself from religion, which takes the "Univese has a fail-safe" feeling to great heights (it's my personal candidate for the strongest emotion keeping people in religion).

My advice is to "accept things one cannot change" and compartmentalize them away. This manifests in my attitude to survivalism: I am somewhat prepared for things I can do something about, but that 2-mile tsunami (or stray bullet in the head) possibility, well, I don't think about it (other than another reason to develop FAI; I am a small donor to the known organization).

There is another aspect to this; I notice that people who are good at explicit thinking under-utilize the rest of their mind, to the extent to not doing much unless they "figure it out logically". There is much to be said for psychological normalcy, having IRL friends, hobbies, etc. This is an important part of winning.