This is a very thorny issue. There is no black and white. Only shades of gray.
Apparently, the Board of Ordained Ministry (BOM) of the Louisville Area of the United Methodist Church is asking candidates for ministry to "friend" Kelly McDonald, not even on the BOM, in order to engage in "Big Brother" monitoring.
Now, to be fair to the Kentucky Annual Conference’s BOM, apparently a prospective "employer" can indeed ask for a FaceBook password (and other social media of its ilk)—just like they can ask for a psychological exam, testamentary evidence from former employers, a physical exam, etc. Of course, a "prospective employee" is not obligated to provide that password, but then neither is the prospective employer obligated to "hire" said prospective employee.
Of course, though, the BOM of the KY conference could do all sorts of workarounds without blatantly asking for "friending." And there is nothing to stop a person who is a friend, and also not under an obligation of any kind of confidentiality, from printing off what he or she reads in the content of a candidate who posted straying words or anathematized behavior.
Yet, for a prospective "employer" to demand such a thing invites all sorts of negative publicity, such as the attention of the ACLU. My experience is that bishops have an instinctual loathing of lawsuits and most will accommodate to a large degree to avoid one without violating conscience or integrity.
If there are "prospective employees" looking at the Kentucky Annual Conference and do not like what they are being asked to do, there are plenty of other conferences who have no such standard for employment.
It’s as simple as that, and as thorny as that.