against their opponents on the Christian Right?

Does "against their opponents on the Christian Right" mean "(secularists who are) against their opponents (these opponents are for/supporting the Christian Right) on the Christian Right"?

Context:

While this book is intended for people of all faiths, it has been written in the form of a letter to a Christian. In it, I respond to many of the arguments that Christians put forward in defense of their religious beliefs. The primary purpose of the book is to arm secularists in our society, who believe that religion should be kept out of public policy, against their opponents on the Christian Right. Consequently, the "Christian" I address throughout is a Christian in a narrow sense of the term. Such a person believes, at a minimum, that the Bible is the inspired word of God and that only those who accept the divinity of Jesus Christ will experience salvation after death. Dozens of scientific surveys suggest that well over half of the American population subscribes to these beliefs. Of course, such metaphysical commitments do not imply any particular denomination of Christianity. Conservatives in every sect - Catholics,
mainline Protestants, Evangelicals, Baptists, Pentecostals, Jehovah's Witnesses, and so on - are
equally implicated in my argument. As is well known, the beliefs of conservative Christians now exert an extraordinary influence over our national discourse - in our courts, in our schools, and in every branch of government.