I am not professionally qualified to judge your sanity, nor am I in your environment to give you perspective. However, I can safely say that having any responsibility in a poorly managed organization is enough to make the sanest people feel stretched to the breaking point. I’ve seen it often. It is highly likely that this is not a good environment for you.
However, you also have it in your power to lower the expectations you have for yourself in this organization and just chill, man. White people love to stress-out. But seriously, was Jesus a stress-case work-driver or was he compassionate? If the organization or project fails, it is not your fault. It is the management.