Doug Wilson, the pastor of Community Evangelical Fellowship in Moscow, Idaho, is clearly the founder of and contemporary spokesperson for the movement. There are probably some 100 Christian classical schools in existence, so a common profile will not fit all, but as I listened to the speakers and met some of the delegates at the conference, certain common themes emerged. This would include the Orthodox Presbyterian Church and the Presbyterian Church in America but could also include Reformed Baptists and Reformed Episcopalians. The names of Greg Bahnsen, Rousas Rushdoony, and Cornelius Van Til are revered. World and Tabletalk magazines are read.
Home schooling is thought of highly.
My guess is the classical Christian schools are established for all the same right and wrong reasons as non-classical Christian schools. But Doug Wilson is quite clear in his speaking and writing regarding his rationale for Christian schooling, and here too, Reformed thinking is evident. These schools place great emphasis on not usurping parental authority, especially that of the father, who is viewed as the leader in the home. Parents are welcome and quite involved with the school. The curriculum is seen as the key to Christian education, and God's absolute truth must permeate all.