Pt. 1
 Your "none of its lay alumni/ae [CTU]are notable in either the Catholic Church nor society at large" is biased.  And what are YOUR qualifications for making that remark?  Here are some of the lay alumni/ae who made/are making contributions to either the Church or society:
1) Julia McStraog, MA 2014---works for the United States Conference of Catholic Bishops.  Wrote articles on working with Quakers in ministry.
2) Allison DeLaney, MA 2004---received the John Templeton Fellowship for promoting better pastoral care and interdisciplinary dialogue in healthcare.
3) Kimberly Lymore, MDiv 2003---appointed Director of the Augustus Tolton pastoral Ministry Program at CTU.
4) Jim Dennison, MA 2004---retired as Parish Director of the Diocese of Green Bay, Wisconsin---is battling liver cancer and would appreciate your prayers
5) Roger Grant, MDiv 2015---chaplain for Comfort Hospice and Palliative Care in Chicago.  Also pursuing ordination with the Universal Anglican 
Church.