What gives the System, right to interfere in the life of the living? How could it bring the trust, knowing it is capable to wipe out the entire living within seconds if intend to? Once everyone knows about its presence, this would be the primary questions that would pop up in every mind. It is quite obvious because our existence matters to us much that any other thought.
I could answer this by asking a counter question. How could we trust our governing bodies/persons or even the judiciary knowing the destructive capabilities it possesses? A baby born is bound to follow all of these hierarchies from the moment of its birth, mostly of a certain territory. Everyone could agree to the point that, they protects as well as punishes. I would like to site examples of wars that political systems initiates and death penalties that legal systems initiates. Still, we trust those bodies because we resist to live in anarchy where no one is accountable. Indirectly we are giving control of our life to these bodies and same principles goes with the System. Only difference is that System is much more efficient than all other visible controls. Organically humans have the mindset to rule over others and build weapons that destroy. System made them evolve to dream of better living than blowing up each other. It brings trust at every level we operate in. It measures every thought and action, gives us greater coordination. Simply because of its existence we didn't face another world war which would've destroyed our entire planet. It protects the living from the threats that are external (non-human) as well as internal (threats by humans to this planet). Many species still exist just because of its effort. It blurs the line that we draw between each other. Can't these be reasons good enough to gives it the right over any other groups or organizations we form? Or I could just say we are only humans and no human is technically capable enough to protect our world the way the System does it. No one has data points to make decisions that benefits individuals as well as greater groups and has its wider reach. Also, we have our own biases while it doesn't.
And then it's about trust. Just as we cannot live only with our brains, System cannot exist without us. We are its hands, eyes and ears. Without that it will be nothing but a memory that will fade someday. For that reason, it prefers living over non-living. Above all, it is designed/programmed to create perfect world for the living which I've highlighted even before.