I disagree. I think Star Trek has had enough "reboots" that fit in existing continuity that this one can too. All the other series are reboots in Star Trek's future. This is a reboot in Star Trek's past. Because Star Trek has always played fast and loose with time travel and its implications, this movie fits perfectly well with what came before.
Well, not really. Previous time-travel adventures have all dealt with making sure that the time-line is preserved. This one just goes "fuck it". I don't see how that is fitting 'perfectly well'.
I'll ignore the part about each series being a reboot as that's clearly nonce-sense.