Now I firmly believe in the inerrancy of Scripture. I don’t find any fault with the ‘discrepancy’ in the above noted contradictions between Kings and Chronicles. . .because I believe that the Truth of the Word is there. If there is a seeming contradiction, it is that in reading the above, my human mind lacks the understanding of God’s. Setting aside human error (and we all know about the Adulterer’s Bible where the printer mistakenly left out the 'not ’ in “Thou shalt not commit adultery” for example, if there is an error in our ‘perception’ we can guarantee that the error wasn’t made by God. So. . .what is the point in BOTH Kings and Chronicles regarding Jehosephat? That, even in those kings who did the will of God. . .the will was not ‘totally’ God’s. . .the kings still were prone to error, and even the best of them, the ones who did God’s will, might stop the practices at one time and then they’d start again. Whether Jehosephat did or did not take down the high altars (and indeed he may have done so at one point and they might have gone up again later, or in some place without his knowledge). . . is not the point, so it does not matter that there appears to be a contradiction; it does not detract from the inerrancy of Scripture.
So I don’t find fault with Nebuchadnezzer being a king of Assyria or Babylon (and indeed, it is possible that whoever ruled was called by that name as later Roman emperors were called ‘caesars’ or some such).