Faith in God and His Word is not based on circular reasoning as the speaker in the video asserts. In other words, there are multiple lines of evidence to support the veracity of Christian claims. There are various philosophical arguments for the existence of God. There is fulfilled prophecy. There is consistency with world history. There are archaeological discoveries. There is a wealth of manuscript evidence for the New Testament.
Jesus Christ and the twelve apostles performed miracles in order to validate their ministry, which was in accordance with Scripture. Jesus even stumped His critics in posing difficult questions. The Apostle Paul said that God's existence is confirmed by observing nature (Romans 1:20). Thus, we clearly see that biblical Christianity has never advocated for blind faith.
Most of the heresies that we witness today originated in the early church. There are different variations of false teachings from the early days of Christianity in our modern age. In other words, they existed long before the production of the King James Version. So the issue is not translations such as the New American Standard or the English Standard Version. The primary issue is that people misuse Scripture to fit their already preconceived ideas.
The 1984 publication of the New International Version is sound. Later editions of that translation have the problem of gender-inclusive language. Anyway, see this article for more information on the King James Only Movement:
Finally, I want to point out that Pastor Steven Anderson is a false teacher. He opposes the necessity of repentance, Christ's Lordship, and believes that homosexuals (along with others) should be put to death. He has vitriolic sermons that are simply hate speech, which is a sign of not being led by the Holy Spirit (Galatians 5:22-23). This pastor does not have any grace and compassion for sinners. This pastor is a self-righteous legalist. If we all at this very moment consistently subjected ourselves to the Law, then we would all be dead because we have all sinned against a holy God. Nonetheless, the biblical gospel is a call to spiritual conversion (Luke 13:1-3).
If you are one who has a preference for the King James Version, then my word of advice to you would be to stick with it.
ADDENDUM: One of my readers pointed out a well-done analysis of Steven Anderson's gospel teaching by Mike Winger which can be found here.