A world without suffering is possible, but it is not what our collective consciousness has chosen. Yes, people have chosen (and is still choosing) suffering, consciously or unconsciously.
All these viewpoints are from the point of view of the ego-self and not the Self, i.e. all the suffering we see is only a distorted slice of reality, not true Reality. That is why the enlightened sages all say to wake up from this dream, it is all an illusion, there is no need to save the world, all you need to do is wake up. The world we perceive through our ego-self is not Reality, so we're getting upset and angry and sorrowful over a non-existent reality created in our minds. Once you wake up, then you can help the other characters in the dream wake up as well. But going around in the dream trying to fix the dream isn't gonna help much.
Your depiction of God is like some father figure looking over all of us and watching his children suffer, and of course if that were true we'd also wonder why He doesn't step in and help us. Instead, I suggest looking at God and Divinity as an everpresent electromagnetic field that supports and creates everything, i.e. All That Is. There is no separation, because that implies duality and Reality is nondual. It is impersonal and allows full freedom to create whatever it wants. In our particular universe, He has created a universe where man/ego can choose to create their own "reality", i.e. have part of God experience what being God is like. Thus, we have free will to create and experience what we want, and universal rules like karma and Law of Attraction help teach us these lessons.
In fact, God does not know what suffering is; it creates all possibilities and experiences everything with infinite love. Suffering are images and words and thoughts and emotions that
the ego learned to project onto what it believes are undesireable things. In Reality, there is no such thing as desirable or undesireable, good or bad, etc. These are all judgments made by the mind, and thus
chosen by us to experience. We project meaning onto everything and assume that's the way it is, when in fact there is no meaning to anything, existence is its only meaning. We look at garbage as trash, but God looks at garbage as perfect garbage that once used to be useful but has now been discarded and will soon be recycled into the earth as fertilizer for nature. We look at starving children and see pain and sorrow, but God looks at it as souls choosing to incarnate into a life full of suffering in order to experience what pain is like in order so that it will not inflict that pain onto other beings in the future. In everything there is love, even in suffering.
Thus, we do not need to save the world
we just do what we can out of compassion and let Divine Will guide us. Us trying to comprehend God is like a jigsaw puzzle piece trying to see what the whole picture is like. Just play your part and trust that everything works correctly and there is a Divine Plan that operates the world. Work to raise your level of consciousness and undo all the negatively-oriented thought patterns and perceptions we all have, unconsciously running in the back of our minds. If you really want, seek enlightenment and you will find and understand the Truth you've been searching for.