Oh. My. Goodness. I have been thinking about this exact same thing for some time now.
If you visit the Bible Archives at WT HQ, you can clearly see how the Bible has been passed through what they consider to be false religious hands. For them to berate Christendom the way they do, it's wonder they even value the Bible at all, since it was fully out of Christendom that we have the Bible that we do today. I even brought up the point that the Catholics gave us the Bible we have today to a PIMI relative and they just dismissed it saying, "Nevertheless, it's still god's word." The way they reconcile all this in their minds is incredible mental gymnastics.