The verse says:
Matthew 6:10 Thy kingdom come, Thy will be done in earth, as it is in heaven.
The verse says that we are to pray for God's will to be done on earth and for God's will to be done in heaven.
The verse does not say that it is God's will for earth to be like heaven.
Heaven is a spiritual world. Earth conditions can never be like heaven since earth is a physical world.
No, earth will never be free from sickness and death because physical bodies are prone to sickness and they all die eventually.
The humble meek will inherit the Earth means that the people who are living on earth at the time the New Earth is built will inherit the earth, as will their progeny. Dead people are not going to come back to life and inherit the earth.
Yes, God's will (His purpose) to be done on Earth as it is in Heaven
In Heaven there is No war, No crime, No violence, No sickness and No death in Heaven
No one goes to Heaven to die in Heaven. No tombs in Heaven, No cemeteries in Heaven
Since God's Kingdom (Daniel 2:44) is Not yet here is why we ask for God's kingdom to come ( thy kingdom come....... )
Thus, God's will be the same for Earth as it is in Heaven
Yes, Heaven is a spirit realm ( aka angels for example ) and Earth is a physical realm ( aka Adam & Eve, etc. )
Adam & Eve were Not prone to sickness and death until 'after' they broke the Law of Genesis 2:17
Originally Earth started out with humans being free from sickness and death with eternal life on Earth in view
Reproduction (progeny) will cease according to Genesis 1:28
People were only to reproduce until Earth was FULL, until Earth was populated, Not over full or over-populated
Acts 24:15 informs us that ' there will be ' a resurrection. ' There will be....' as in future
ALL the people Jesus resurrected were brought back to happy-and-healthy physical life on Earth
Jesus was demonstrating a small sample preview coming attraction of what he will be doing on a grand global scale
Enemy death will be No more on Earth - Isaiah 25:8; 1st Corinthians 15:24-26