He is sovereign. The word Tyrant usually refers to a harsh and cruel ruler. God is only harsh when we either deserve it or are in danger. Typically most agree He is far more merciful than we deserve.
I expect him to keep his hands off and let us determine the course of our own history.
So you think God shouldn't put an end to abortion and murder and violence. No matter how wicked man becomes, you think God should let man just keep on reproducing out of wedlock and killing and becoming more and more perverted.
You can wish that, but I assure you, God will not keep his hands off forever. He will bring it to an abrupt halt. And I predict, that He will do that largely by removing his protection and letting man reap the folly of his own decisions. So in a way, you might very well get "hands off", but you aren't going to be pleased with the result when God removes His protection.