Okay, working now.
1. Disagree with one of their foundational axioms: "we are to be winning the nations". Sorry, I don't find that in Scripture. What I find is to evangelize the nations, i.e., preach the Gospel for the purpose of calling the elect to repentance and faith who make up the 'remnant' who are of God's chosen race.
2. Disagree with their concept of "victory". Christ IS victorious due to his active and passive obedience which secured the salvation of those whom the Father gave to Him from all eternity. They are a remnant of all mankind and who will occupy the New Earth at the consummation. NOW is the kingdom of God and NOW is Christ the Ruler of the kingdom and the world. I find no "Christianization" of the world in Scripture.
3. Disagree with their view that the nations of this world must and will submit to God's law before the end of this age. ALL will be held accountable for their rebellion and disobedience to the law of God. But I do not find a worldly 'theonomy' other than OT Israel which is gone. The New Heaven and New Earth is the future and only theonomy. I cannot find any hint of the Church ruling the world in Scripture.
Lots more, but why bother?
Sam Waldron's "Theonomy: A Reformed Baptist Assessment" is one of the better apologetics against Theonomic Reconstructionism, IMO.