Secularism is antithetical to ministry, unless you are ministering the Word of secularism.
Why would a non-believer want "classes and programs in pastoral care, missions, etc.?" Those who want that go to a school that will offer that -- Harvard or Yale. Those who don't go where that course of study really isn't emphasized. If there are larger numbers in theologically-related programs than not, odds are it's more theological, and less philosophical.