The first three petitions of Jesus's model prayer call upon God's holy name to establish HIS kingdom as HIS heavenly will is done on earth.
This petition of the Lord's Prayer is actually a prayer of evangelism. God's kingdom is not a political overthrow of opposition parties in the government. Instead God's kingdom is established in the hearts and lives of sinners. The prophecies of Jeremiah and of Daniel call for a future kingdom that will be more powerful than any earthly kingdom. This kingdom is God's kingdom of heaven established in the hearts of sinful humanity.
God's kingdom comes partly through the preaching of HIS Word and partly by the mysterious work of the Holy Spirit.
Please remember that the Lord's Prayer is a fervent prayer of reverence and of evangelism. May God's will be done as he establishes the kingdom of heaven in the regenerate hearts of his people. Amen.