Rattigan350:
"Jerusalem was destroyed in 607 BCE"
That is not what starts the Gentile times so why does that even matter?
Well of course it isn't (though I suspect your interpretation is equally wrong).
The 'gentile times' (Luke 21:24; Revelation 11:2) began in 66 and ended in 70. The 'gentile times' has nothing at all to do with the Neo-Babylonian period.
The JW (Adventist) interpretation of the 'gentile times' is a complete mess.