And driving all traces of religion out of the schools is part of the agenda of the ACLU, which was founded by Communists. You're engaging in what's known as the Fallacy of Division, the assumption that what must be true of a part must also be true of the whole. Or, that whatever immediate goals are desired by someone plotting a grand nefarious scheme, can have no other effect than to bring that scheme into fruition.
The CR people, whoever they are, are not going to be able to implement their agenda without provoking the strident opposition of the American people. It doesn't matter if the people accept ID in schools, or even school prayer or any other pre-Engel vs Vitale practice. The only way the Discovery Institute or the TMLC or anyone else like that can implement any of their goals is by getting public support. Without that, they're dead in the water. And they're not going to get public support for any kind of theocratic (by which I mean, above and beyond anything that's existed in this country for the past 100 years at least) government.
Yet the ACLU has been able to acheive its goals without public support.
You claim we would only go back to the 1960's. Why should they stop there? Why not to 1700?
One route to wider public acceptance for an intrusive role of religion in government is to obtain control of public schools. The American people, right now, would not accept the stoning of disobedient children or the execution of homosexuals and apostates. But they did once, and there's no reason to believe that their attitudes, having been changed once, could not be changed again.