The Pharisees and Sadducee's had all the trappings of office, yet the Son of God stood in front of them and they didn't see who he was. They had all this "official, certified, ordained" training and they didn't see the fulfillment of prophesy.
What good was their theological training when the greatest moment in history was happening in front of them and they didn't recognize it?
The point of Christ continual interaction with The Pharisees and Sadducees wasn’t that a formal and educated priesthood was wrong. God himself throughout the Old Testament establish the priesthood.
The problem with them is exactly what protestants do reguraly; they’d take little pieces of scripture out of context and apply them to situations, completely misinterpreting the greater meaning of scripture in the process. Meantime they lived hypocritical lives, and used religion for financial gain.
Not at all unlike the televangeistas and TBN idols who mangle scripture for financial gain daily.
Well, the Reformed will simply tell you that God ordained it so before all ages. So, it wasn't them but God who made sure they couldn't see.
The Less Deformed will tell you that this is a very human thing. Even the Apostles did not fully believe until after the fact; they were also blind and failed, and they ate and walked with Him! So, how can you blame those who doubted him from afar?