I have not seen evidence of a flow, but only a trickle. A noisy trickle yet a trickle nonetheless.
The flow toward Roman Catholicism in conservative intellectual circles is not just a flow but a flood.
There are reasons why not just most but nearly all of the conservative Justices on the Supreme Court in recent years have been Roman Catholic. Publications like First Things and National Review are not entirely Catholic but a Catholic approach to scholarship and intellectual life is either an underlying assumption that isn't spoken because it's assumed, or is considered the default view with other conservative approaches being acceptable.
I don't think those of us in the Reformed world, where we never lost high standards of academic training for our pastors and therefore kept an emphasis on Christian colleges and seminaries, always realize just how bad things got for several generations in the evangelical world with anti-intellectualism becoming the norm, many conservative seminaries and colleges being unaccredited, and even with the accredited schools, many of them being really quite bad in their scholarship and basic academic standards.
That's changing. Men like Al Mohler are working to fix the problems in the Southern Baptist Convention and its related colleges and seminaries. Given time, and the major role of the SBC in American evangelicalism, we will probably see improvements in a generation or so as men who are now in college and seminary go on to graduate school, become junior faculty, and start publishing books and articles.
But things take time. Not just one but several generations of young evangelical men and young evangelical pastors were given an education that was -- at best -- at a Bible college level. They simply were not prepared to do the sort of graduate level work that would be expected at even a second- or third-tier masters or doctoral program.
Roman Catholics stepped in and filled gaps that evangelicals were unprepared and often unable to fill.
The result, not surprisingly, has been that people like Vice President Vance end up as conservative Catholics and not as conservative Protestants.
I need to add here that I'm an outlier in the conservative Reformed world on valuing ministers who didn't go to seminary and promoting alternative methods of training for pastors. I value formal academic training for pastors, and a studied ministry, but I know the reality of small church life in rural America. I know there are reasons why the SBC won its war against liberalism, but most Presbyterian and Reformed denominations lost, and a key factor was that the "untrained small church rural pastors," despite not going to seminary and in some cases not having even a Bible college level of training, were dead set against liberalism and provided the necessary anger that galvanized the laity to fight back against the "overeducated elites" who had taken over too many of the Southern Baptist seminaries and colleges. None of what I am saying should be perceived as an attack against godly men serving small churches without formal academic training, or with limited training. American Presbyterian and Reformed churches lost the American frontier back in the early 1800s because we insisted on an unrealistically high academic standard and couldn't provide anywhere close to enough pastors, leading to the Baptists and Methodists taking over in places where Reformed people had moved but couldn't get pastors.
We need alternative methods to prepare pastors for small churches who can't realistically go to seminary. But we can't let that lead to a collapse in academic standards at colleges and seminaries, or we're going to continue to see what we've seen today with the dominance of Roman Catholics in conservative intellectual life. It needs to be both/and, not either/or -- a two-track system for training pastors in small churches while maintaining college and seminaries that do their jobs for those who can attend them.