Thy kingdom come. Thy will be done in earth, as it is in heaven.
— St Matthew 6:10
This is not to say that God is not in control of things on earth. "He removeth kings and setteth up kings," says Daniel 2:21. True, but kings on earth do not necessarily do God’s will. The kings He sets up on earth are perhaps just the kings —good or bad— whom their subjects need at a given time.
"All things work together for good,’ wrote St. Paul in Romans 8:28, "to them that love God." Those who don’t love God, the vast majority of people, certainly are not doing his will on earth.
When God destroyed Sodom and Gomorrah (Genesis 19), it was not his will to do so. His will, surely, was for the residents of those cities to have behaved themselves properly.
Second Peter 3.9 puts it like this: "The Lord is...not willing that any should perish, but that all should come to repentance." However, not all come to repentance.
"The god of this world [Satan] hath blinded the minds of them which believe not," St. Paul wrote in Corinthians II 4:4. Minds blinded by Satan must have very little chance of intentionally doing God’s will.
At the Last Supper, Jesus told his disciples, I will not drink henceforth of this fruit of the
vine, until that day when I drink it new with you in my Father’s kingdom.
-St. Matthew 6:9
On that day, His kingdom will have come on earth and His will done.