There is a connection between false doctrine and going away from the KJB. It is a false doctrine to go against the KJB to start with: I notice that various ministries or movements which held to the KJB until recently were the most powerful, but as they have forsaken the KJB, I note how way off they have become.

Now, someone can say that false groups have also used the KJB, but I have found that often times people who promote false doctrines have to change the KJB. I personally notice this with:
1. The Revivalist Pentecostal groups who claim that you have to talk in tongues to be saved, even though using the KJB, appeal to the real meaning of the original languages to explain their false doctrine.
2. The British Israel groups claiming that the rest of the tribes of Israel are the British/Americans, though using the KJB, appeal to the originals, the LXX and reinterpretations in order to present their false doctrine.
The same could be said about other false doctrines too. I also must add that not everything that the false groups say are wrong, and some people can hold to good doctrines, but have a false doctrine too.

Having said that, I know that KJB Only is a true doctrine, and many people are in danger of error for not being KJBO.