Dear Talquin,
You said: "It's logically impossible for an all powerful & all loving God to exist in the presence of mass calamities & mass catastrophes. What we define as 'evil' might be subject to interpretation, but we can all agree that things like genocide, the holocaust, rapes & molesting of children, famines, destructive tsunamis, destructive earthquakes and destructive tornadoes do occur.
If God loves everyone, then he would want to see that people don't suffer as a result of the aforementioned items. But since such things do occur, then we can conclude if God is all-loving, then he is incapable of preventing such catastrophes.
Similarly, if God can do anything, then he would be able to prevent all the aforementioned catastrophes. But since these things do occur, we can conclude if God can do anything, then he doesn't love humans enough to prevent the aforementioned catastrophes."
It appears that you have made yourself out to be "a self made God" to judge your very creator.
Having said that, if you were God and you used your power to micromanage and control every act and thought of every man and woman on this earth, what then would your purpose of placing man upon this earth be?
Would you not therefore be acting as the most absolute dictator and clear opponent of the God given gift of moral agency?
How then could your creations develop in this "earth laboratory" their attributes of integrity, virtue, freedom of will and their individual moral agency?