It is commonly misunderstood that "The fear of the Lord" means a holy reverence of God. There are many Godly men which hold to this belief such as Cyrus I. Scofield. However, this belief is easily debunked if you just believe what God's word says. And the word "fear" means "fear.
The Bible says
The fear of the LORD is the beginning of knowledge: but fools despise wisdom and instruction.
This is the same fear found in
1 Kings 1:50
And Adonijah feared because of Solomon, and arose, and went, and caught hold on the horns of the altar.
Hear thou in heaven thy dwelling place, and do according to all that the stranger calleth to thee for: that all people of the earth may know thy name, to fear thee, as do thy people Israel; and that they may know that this house, which I have builded, is called by thy name.
And Lot went up out of Zoar, and dwelt in the mountain, and his two daughters with him; for he feared to dwell in Zoar: and he dwelt in a cave, he and his two daughters.
And the men of the place asked him of his wife; and he said, She is my sister: for he feared to say, She is my wife; lest, said he, the men of the place should kill me for Rebekah; because she was fair to look upon.
In the above verses it is obvious the context shows that "fear" means "fear".
Furthermore, Paul says "terror of the lord" concerning the Judgement seat of Christ
2 Corinthians 5:11
Knowing therefore the terror of the Lord, we persuade men; but we are made manifest unto God; and I trust also are made manifest in your consciences.
And Jude told us to save others with fear.
And others save with fear, pulling them out of the fire; hating even the garment spotted by the flesh.
The Bible also tells us to fear and tremble before God's word.
2 For all those things hath mine hand made, and all those things have been, saith the LORD: but to this man will I look, even to him that is poor and of a contrite spirit, and trembleth at my word.
5 Hear the word of the LORD, ye that tremble at his word; Your brethren that hated you, that cast you out for my name's sake, said, Let the LORD be glorified: but he shall appear to your joy, and they shall be ashamed.
And to put the nail on the coffin. The books of Hebrews tells us to serve God with reverence and godly fear which thereby seperates and differentiates the two.
Wherefore we receiving a kingdom which cannot be moved, let us have grace, whereby we may serve God acceptably with reverence and godly fear: