Really stupid football standings question

[Mr.Blue_Sky]

I don’t follow football (or any other “professional” sports), but I am curious about the following scenario:

Since a football game COULD end in a tie, what would happen in the severely unlikely event that EVERY game in the season ended in a tie AND each game ended in a 0-0 score? Every team’s standing would be 0-0-16. How would the playoffs be determined without points for and against to go by?

[Munch]

I think at that point you cancel the playoffs and start over next year.

[Munch]

Of course I had to look it up. From nfl.com:

Three or More Clubs
(Note: If two clubs remain tied after third or other clubs are eliminated, tie breaker reverts to step 1 of applicable two-club format.)

1. Apply division tie breaker to eliminate all but the highest ranked club in each division prior to proceeding to step 2. The original seeding within a division upon application of the division tie breaker remains the same for all subsequent applications of the procedure that are necessary to identify the three Wild-Card participants.
2. Head-to-head sweep. (Applicable only if one club has defeated each of the others or if one club has lost to each of the others.)
3. Best won-lost-tied percentage in games played within the conference.
4. Best won-lost-tied percentage in common games, minimum of four.
5. Strength of victory.
6. Strength of schedule.
7. Best combined ranking among conference teams in points scored and points allowed.
8. Best combined ranking among all teams in points scored and points allowed.
9. Best net points in conference games.
10. Best net points in all games.
11. Best net touchdowns in all games.
12. Coin toss

So it’d go down to a coin toss across the board. How they would determine who gets to choose heads or tails is an exercise left to the reader.