How is God's judgment manifested in the world today?

It's there for all who have eyes to see, Jess. He's really browned off with us, turning our backs on him and going our own way. We're carousing and cavorting and, as a result, he's chucked a wobbly. Another wobbly, that is. So he has judged us unworthy and has sent us cyclones and floods and earthquakes, and terrorism and AIDS and all those other illnesses that beset us.

Personally, I don't blame the old guy. If everybody ignored me, as we do him, I'd probably feel a bit put out, too. After all, he's only human.

Since there is no scientific evidence of any deity ... There is no evidence of any judgement from any deity.

Also ... According to the Christian beliefs, any bad that happens in the world is due to Humanity's free will ... Thus, (1) any good that happens is also due to free will, and (2) there is no evidence of the Christian God's judgement being manifested.

According to his word the bible, he hasn't made a final judgement yet. Man made the claim that they didn't need the loving direction and guidance of their creator. In fact they said they would do better without it. So the allowance of time has proven the point as to what position was the best. When the point has been satisfactorily made our creator will complete his purpose of having the earth populated with people using there "free will" as it should be used. We will then see the fulfillment of what the bible says at Rev 21:3,4 "Look! The tent of God is with mankind, and he will reside with them, and they will be his people. And God himself will be with them. And he will wipe out every tear from their eyes, and death will be no more, neither will mourning nor outcry nor pain be anymore. The former things have passed away."

If it is true that "the rain falls on the just and the unjust," trying to evaluate what does and does not represent "God's Judgment" on isolated incidents is difficult.

The general perspective is that He treats us primarily with His mercy in this life and His justice in the next.

I find that consistent with Aristotle's concept of movement from potency to act. At death we have become what transfers to eternal life and at that time our existence is determined by what that is.

It's not.

First I like to see this god manifested in the world then we will talk about its judgement.

HOLD THE PRESSES!! God manifested himself? I need details and location!

God has provided his word the Bible to guide us.  We were created with free will, we can choose to learn how to serve him or we can refuse to accept that he exist it's up to the individual.  " Do not be misled: God is not one to be mocked,  For what ever a person is sowing,this he will also reap;" Galatians 6:7.  We may face certain consequences of our actions, God will be our final judge.

The world was a realm left to Man  . . . Otherwise what is "Free Will"?

You can assign bad things to "God's wrath" in as much as you can assign the happenstance of something good that has happened to you as an "Answer to Prayer". Neither holds any validation of truth, but only serves as confirmation bias for the believer.

They are products of causality resulting in circumstances, situations and incidents . . . Nothing more, nothing less. It is easy to look back and see how things connect to this moment, whilst looking forward and not have the slightest clue what comes next save for actions you perpetraded.