I think this is a case where we need sound judgment and good biblical discernment.
From what I know, Myles seems to misunderstand the distinction between the Kingdom of God and the Kingdom of Heaven... and the fact that many of the things promised to those in the Kingdom of God are for a later time, after the resurrection of the saints. Remember that the Kingdom of God is not about food and drink, but about righteousness, peace and joy, in the holy ghost.
Correct me if I'm wrong but Myles teaches that our place in God's Kingdom gives us rights here on earth to be movers and shakers. But in relation to the here and now, the Kingdom of God is invisible, it is the spiritual place we enter in submission to the King to surrender our will and submit ourselves to His will. We learn servitude... not to reign at this time. The Kingdom resides within the heart and soul of true believers. In the present tense, it is not a Kingdom of Dominant kings, but of humble and meek servants. "The meek SHALL inherit the earth" at a later time, after Christ returns.
Remember that Christ did not come to conquere the Romans, but to conquere sin on our behalf. He says to us, "follow my example..."
The New Testament model in this Kingdom for the church on earth is to follow the example of Christ and to suffer for his namesake. As Christians, we have not been called to dominate society and claim it all with arrogant decrees, but to take up our cross and proclaim the gospel. I suspect that Myles Monroe teaching caters more to those who want power and authority rather than servitude and suffering.
From what I've seen and heard, it's about claiming things and taking things and demanding for things to happen in society that will bring about change and righteousness in the world. But changing society and politics is not what Christ came to do. We should be focusing on the Great Commission, not changing the world.
In relation to our heavenly reward, our objective is not to TAKE dominon of the earth but to look forward to the blessed hope which is the ressurrection of the saints and dwelling with the Lord. It's not until we get to heaven that there will be no more tears, pain, sorrow, etc... We don't use the law to enforce righteousness on society, but as a schoolmaster to show them their need for Christ. We're supposed to be humble servants, not proud possessors. In this church age, Christians are persecuted, put to death, or maligned for their beliefs and lifestyle. The Bible does not support a time when the church will dominate government and society before Christ's return. These claims are in complete opposition to end time prophecy.
One thing Myles says that I do agree with is that we need to realize we are occupants of a Kingdom, not members of a religion. However, I do suspect it is very close, if not complete Dominion theology.