Perhaps my language is too strong against the KJV, but I always recommend people not use it. While you are correct that the major doctrines are not different, there are significant differences between the KJV and most modern translations. The fact that it seems to be the standard people use by default concerns me a great deal. But "rife with innacuracies" was probably the wrong thing to say. Probably "it's not the most accurate translation available" is more correct.

And it should be stated empatically (as you did) that the places where modern translations differ or are unsure are never places of doctrinal importance. Things like dates of king's reigns and such.