The mistake you're making is the assumption that today's bible varies radically from the ancient texts.
When bible manuscripts are compared to other ancient writings, they stand apart as the best-preserved literary works of all time. There are thousands of existing Old Testament manuscripts and fragments copied throughout the Middle East, Mediterranean and European regions that agree phenomenally with each other. These texts substantially agree with the Septuagint version of the Old Testament, which was translated from Hebrew to Greek some time during the 3rd century BC. The discovery of the Dead Sea scrolls showed us how incredibly accurate our bible today is.
The manuscript evidence for the NT includes around 25,000 ancient manuscripts discovered and archived so far, at least 5,600 of which are copies and fragments in the original Greek. Some manuscript texts date to the early second and third centuries, with the time between the original autographs and our earliest existing fragment being a remarkably short 40-60 years.
When you trivialize the accuracy of the translations, you really show that you don't know much about the subject because the one thing non-believers and the faithful alike who have studied the bible agree on is this...the Bible is remarkably unadulterated from the ancient texts. The other sticking point is the existence of thousands upon thousands of pieces of manuscript, all generated in approximately the same time in different areas, and all remarkably alike in their content and version of Christ's life and teachings. This isn't in the time of the internet, and these teachings and documents were circulated during a time when people were alive who could contest the veracity of the documents. But nobody came forward to discount them. Nobody.