So what you are saying is, since this step wasn't specified in the rules they arbitrarily made it up? LOL.
There is nothing even remotely similar to that procedure anywhere in any of the tiebreaking rules.
No, the question of Jets vs. Pats in first place depends completely on whether you think "head to head between the teams" counts. Unlike wildcard tiebeaking rules, the rules for division tiebreakers don't say all teams need to have played the others. So you can argue it counts and Patriots win the tiebreaker.
But you can also argue that it does count, the only reason the rules don't say that is, at the end of the season all division teams will always have played each other, so there was no need to complicate the matter by saying it. So in that case head to head doesn't count and the Jets win the tiebreaker
Bottom line is, it's a rule which is crystal clear at the end of the season but is open to interpretation until then. So there's no definitive answer at this point.