So what’s your opinion of Christian churches that say their focus is on the Old Testament?
I'm not aware of any Christian churches that "focus" on the Old Testament.
After those, I would say the next closest is probably someone like Steven Anderson who says we need to maintain the judicial components of the Law, e.g. executing people for bestiality. The idea that the ceremonial aspects of the Law were fulfilled by Christ is uncontroversial among Christians, for He is the true and eternal high priest, "a priest for ever after the order of Melchizedek." The sacrifice of animals was merely a sign pointing to the sacrifice of the Son of God.
There also exist Theonomists in the Calvinist tradition who hold that mankind should be governed by the laws of Moses, if not explicitly by the letter of that law than at least by its general equity. Though out of that same movement comes such people as Rousas Rushdoony and Doug Wilson, who promote postmillennial ideas that the kingdom of god must be formed on the earth by the church taking over the world and establishing the theocracy of the kingdom of god based on the laws of Moses as a precondition to Christ's return.
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