Leave it to Elder (a.k.a. Justice) Oaks to make solid distinctions in the knowledge and obedience departments.
In closing, I refer to the relationship between obedience and knowledge. Members who have a testimony and who act upon it under the direction of their Church leaders are sometimes accused of blind obedience.
Of course, we have leaders, and of course, we are subject to their decisions and directions in the operation of the Church and in the performance of needed priesthood ordinances. But when it comes to learning and knowing the truth of the gospel—our personal testimonies—we each have a direct relationship with God, our Eternal Father, and His Son, Jesus Christ, through the powerful witness of the Holy Ghost. This is what our critics fail to understand. It puzzles them that we can be united in following our leaders and yet independent in knowing for ourselves.
Perhaps the puzzle some feel can be explained by the reality that each of us has two different channels to God. We have a channel of governance through our prophet and other leaders. This channel, which has to do with doctrine, ordinances, and commandments, results in obedience. We also have a channel of personal testimony, which is direct to God. This has to do with His existence, our relationship to Him, and the truth of His restored gospel. This channel results in knowledge. These two channels are mutually reinforcing: knowledge encourages obedience (see Deuteronomy 5:27; Moses 5:11), and obedience enhances knowledge (see John 7:17; D&C 93:1).
We all act upon or give obedience to knowledge. Whether in science or religion, our obedience is not blind when we act upon knowledge suited to the subject of our action. A scientist receives and acts upon a trusted certification of the content or conditions of a particular experiment. In matters of religion, a believer’s source of knowledge is spiritual, but the principle is the same. In the case of Latter-day Saints, when the Holy Ghost gives our souls a witness of the truth of the restored gospel and the calling of a modern prophet, our choice to follow those teachings is not blind obedience.
-Elder Dallin H. Oaks, "Testimony," CR April 2008.