You do realize that suffering is the result of human beings, and that to fix it as you describe God would have to take away free will and make us into robots who only do what's right? To me that would be malevolent.
1: Not all suffering is a result of human beings. Take elephantitis for example.
2: Since God knows the future, he already know what choices you will make when he places you in the womb of a certain mother. Does that sound like free will to you? Why don't God make someone born in an environment where they are more likely to come out of life as better people, and not put people into environments that have a high probability of messing them up?
3: God makes your DNA and this is somewhat responsible for your actions. So God has some choice in how good you are. Is this free will? Why can't God make us good as he possibly can? DNA will not completely determine the kind of person you are, but it will sure make being good easier.
4: The fact that we have emotion and physical sensations (pain, pleasure, etc) means we will never have full control over our decisions. Is this free will? Why couldn't God have given us the types of emotions that allow us to have complete control over our actions?
5: If God stops everyone from doing anything bad, that destroys free will, but maybe he doesn't have to go that far. Maybe he can let people make all the personal choices they want but keep them from harming other. If it is still against free will to keep people from harming others every single time, then why not just keep the really bad things from happening? Maybe God won't keep you from taking meth, or taking a purse from an old lady, but he might just want to prevent the holocaust because it tore down so many people? God has been known to intervene in historical events before.
6: By using the free will argument you are arguing that the only way to eradicate evil is to eliminate something very good (free will) so God cannot completely eradicate evil. This argument assumes that there are things God cannot do which contradicts his omnipotence. If God is omnipotent, why can't he eradicate evil without harming free will?