Unlike you, I am going to wait until I compare the pastor to Paul in an agreeable manner.
Paul, in his writings to the churches, was certainly more 'diplomatic' than Pastor Standridge was in this video, especially in reasserting his authority, but I'm sure he got emotional as well. His criticism of Peter was terse, and public, much like Pastor Standridge. Note the bolded parts:
11 "But when Peter was come to Antioch,
I withstood him to the face, because he was to be blamed.
12 For before that certain came from James, he did eat with the Gentiles: but when they were come, he withdrew and separated himself, fearing them which were of the circumcision.
13 And the other Jews dissembled likewise with him; insomuch that Barnabas also was carried away with their dissimulation.
14 But when I saw that they walked not uprightly according to the truth of the gospel,
I said unto Peter before them all, If thou, being a Jew, livest after the manner of Gentiles, and not as do the Jews, why compellest thou the Gentiles to live as do the Jews?"
This was a serious 'dressing down' of Peter and the others by Paul.
Public denouncement is a last resort method of trying to steer a person to repentance. I have seen it done successfully several times. However, not everyone is able to deal with the humiliation and some have left the church. But if they do leave is this not God's way of purging that church?