The video in the OP speaks about rape and murder. Both of those are human problems with human solutions.
ALL the problems we have are of a physical nature, in one way or the other. There are no other problems one can face! Tell me, which other problems do you propose? Even psychological problems are inherently of a physical nature.
Why would the First Cause intervene when his creation can and won't?
We do intervene, when we can. Then again, there are those that choose to commit the crime. Our inability to confront all these problems doesn't excuse God's inaction.
His intervention would favor good. His inaction allows evil to run rampant.
"All that is necessary for the triumph of evil is that good men do nothing."
Plus how can you prove God is not acting in a way you don't know or understand?
That's a weak argument. How can you prove Thor doesn't control lightning in ways you don't know or understand?
The question is mostly addressed to Christian Apologists, and since you're all over the place, I don't think you are qualified to answer that from the Christian Apologist perspective.