I have not seen the video as the technology I have available precludes videos off the internet.
I don't know what answer the video suggests, but may I note that there is a certain Act of Faith prayer that ends by praising God, "Who canst neither deceive nor be deceived."
The answer to the question, "Was God behind the ambiguities of Vatican 2?" is "No. God was not behind the ambiguities of Vatican 2, Satan was."