That's just an Easter Egg for the fans. If they actually WANTED it to line up they wouldn't have Kirk on the ship all the time.
This is so overstated, its not even funny. Paul Wesley's Kirk, to date, has appeared in exactly four stories. The first two appearances ("A Quality of Mercy" and "Tomorrow and Tomorrow and Tomorrow" were largely alternate version Kirks, the second having the real Kirk, only appearing briefly on a screen). He's only really been on Enterprise in two episodes. It appears that he will appear in two more stories in season three, both of which, we don't even know if Kirk is aboard the Enterprise or not at the time.