You do know that there are translations that rely significantly on the Byzantine Majority Text that aren't the King James, right?
Namely, the World English Bible (WEB).
I urge you to compare the WEB to some other modern translations. Even though you'll probably still find plenty wrong with it, it retains many, many verses that translations like the NIV remove when favoring the Alexandrian text. And also, the WEB is in the public domain, so you can just edit it for yourself if you think it relies on the Alexandrian text too much for any given verse (which I am doing

).
If I sent you my revised version of the World English Bible, I think you would struggle to find much missing from it.
And this is all coming from someone who once identified with KJO views for a short period of time